The charge on each capacitor is 1478.44 μC and 1843.06 μC. The potential difference across each capacitor is the same and is 527.62 V. When the plates of opposite sign are connected, the potential difference across the capacitors will be -85 V.
To solve this problem, we can use the principle of conservation of charge, which states that the total charge before and after the capacitors are connected remains the same. We can also use the principle of conservation of energy, which states that the total energy before and after the capacitors are connected remains the same.
First, let's find the initial energy stored in each capacitor:
E1 = 1/2 * C1 * V1² = 1/2 * 2.80 μF * (460 V)² = 573.44 mJ
E2 = 1/2 * C2 * V2² = 1/2 * 3.50 μF * (545 V)² = 523.93 mJ
The total initial energy stored is:
E_total = E1 + E2 = 1097.37 mJ
When the capacitors are connected in parallel, the charges on each capacitor will redistribute so that they have the same potential. We can find the new potential difference using the formula:
C_eq = C1 + C2
where C_eq is the equivalent capacitance of the two capacitors in parallel. Therefore,
C_eq = C1 + C2 = 2.80 μF + 3.50 μF = 6.30 μF
The new potential difference is:
V_eq = Q / C_eq
where Q is the total charge on the capacitors. Since the total charge before and after the capacitors are connected must be the same, we have:
Q = C1 * V1 + C2 * V2 = 2.80 μF * 460 V + 3.50 μF * 545 V = 3329.5 μC
Therefore,
V_eq = Q / C_eq = 3329.5 μC / 6.30 μF = 527.62 V
The potential difference across each capacitor is the same and is equal to the new potential difference, V_eq:
V1 = V2 = V_eq = 527.62 V
The charge on each capacitor can be found using the formula:
Q = C * V
where C is the capacitance and V is the potential difference. Therefore,
Q1 = C1 * V1 = 2.80 μF * 527.62 V = 1478.44 μC
Q2 = C2 * V2 = 3.50 μF * 527.62 V = 1843.06 μC
When the plates of opposite sign are connected, the potential difference across the capacitors will be the same and equal to the potential difference of the batteries used to charge them, which is the difference between the initial voltages of the capacitors:
V_diff = V1 - V2 = 460 V - 545 V = -85 V
The charge on each capacitor will also be the same and is equal to half of the initial charge:
Q1 = Q2 = (Q1_initial + Q2_initial) / 2 = (1478.44 μC + 1843.06 μC) / 2 = 1660.75 μC
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A glass window pane is 2.7 m high, 2.4 m wide, and 9.0 mm thick. The temperature at the inner surface of the glass is and at the outer surface 4°C. How much heat is lost each hour through the window?
The window loses approximately 38,080 W, or 38.08 kW, of heat each hour.
The rate of heat loss through a window can be calculated using the formula:
Q/t = kA(∆T/d)
where Q/t is the rate of heat transfer, k is the thermal conductivity of glass, A is the area of the window, ∆T is the temperature difference between the inner and outer surfaces of the glass, and d is the thickness of the glass.
Given that the glass is 9.0 mm thick, or 0.009 m, the area of the window is 2.7 m x 2.4 m =\(6.48 m^2\), the temperature difference is 4°C, and the thermal conductivity of glass is approximately 1.05 W/mK, we can solve for Q/t:
Q/t = \((1.05 W/mK)(6.48 m^2)(4°C)/(0.009 m)\)
Q/t = 38,080 W
Therefore, the window loses approximately 38,080 W, or 38.08 kW, of heat each hour.
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what is potential difference??. Please give a detailed explanation.
Explanation:
The difference of electrical potential between two points is called the potential difference.
It is also defined as the work done in the transfer of a unit quantity of electricity from one point to the other.
The SI unit of electric potential is volt. It is denoted by V.
Use the scenario below for questions 4-7.
A rocket launched at a 60-degree angle has a launch velocity of
31.00 m/s.
4. What is the magnitude of the rocket's initial vertical velocity?
a. 10 m/s
b. 15.5 m/s
c. 26.85 m/s
d. 31 m/s
Two light bulbs are 0. 900 mm apart. from what distance can these light bulbs be marginally resolved by a small telescope with a 4. 30 cmcm -diameter objective lens?
Answer:
Rayleigh's criterion for resolution is
θ = 1.22 * λ / D
If we choose green light (near the middle of the spectrum)
λ = 5000 * 1.0E-10 = 5.0E-7 m
Since D = .043 m aperature available for resolution
θ = 1.22 * λ / D = 1.22 * 5.0E-7 / .043 = 1.4E-5
D = S * θ where θ is angle subtended by D
S = D / θ = .0009 m / 1.4E-5 = 64 m
S = 64 m
Eva Destruction twirls a stone attached to a string 2.0 meters long in a horizontal circle. At what speed must the stone move for its centripetal acceleration to be equal to the acceleration due to gravity (g)?
I NEED HELP ASAP PLSSSS!!!!
Answer:
4.43 m/s
Explanation:
The radius of circle is = 2m
Acceleration due to gravity is = 9.8 m/s²
To find the speed the stone move for its centripetal acceleration to be equal to the acceleration due to gravity will be;
a=v²/r where a is acceleration due to gravity and r is radius of the circle
9.8 =v²/2
9.8 *2 = v²
19.62 = v²
√19.62 =v
4.43 m/s = v
The required velocity is 4.4 m/s.
The centripetal acceleration is given by the formula;
ac= v^2/r
v = linear speed
r = radius of the circular path
We are looking for the velocity at which ac = g = 9.8m/s^2
We already have the radius of the circular path as 2.0 meters
9.8 m/s^2 = v^2/2 m
v = √2(9.8)
v = 4.4 m/s
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which way should a ceiling fan rotate in the summer
What is your instantaneous speed at the instant you turn around to move in the opposite direction?
When you turn while moving, your speed zeros out before rising.
What is instantaneous speed?
The speed of an object can change as it moves. The speed of an object at a certain instant of time is known as the instantaneous speed. If the position is a function of time, then the speed depends on the change in the position as time changes.
Turning around while moving causes your speed to drop to zero before rising in the opposite direction at the same location.
While you might maintain a steady pace if you made a semicircle turn, you wouldn't be traveling along the same road in the other direction.
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Q3. How much time has elapsed between the two measurements? The common isotope of uranium, 238 U, has a half-life of 4.47 x 10 years, decaying to 234Th by alpha emission. (a) What is the decay constant? (2)
Approximately 2.52 x 10¹⁰ years have elapsed between the two measurements.
The decay constant of uranium-238 is 1.55 x 10⁻¹⁰ per year.
The decay constant can be calculated by using the following formula: λ = ln(2) / T1/2where T1/2 is the half-life of the isotope. By plugging in the values for T1/2 in the formula, we can determine the decay constant of uranium-238.λ = ln(2) / T1/2λ = ln(2) / (4.47 x 10)λ = 1.55 x 10⁻¹⁰.
The decay constant of uranium-238 is 1.55 x 10⁻¹⁰ per year. To determine the amount of time that has elapsed between two measurements, we can use the following formula:N = N₀e^(-λt)where N₀ is the initial amount of the isotope, N is the final amount of the isotope, t is the time that has elapsed, and e is the mathematical constant approximately equal to 2.718.
By rearranging the formula, we can solve for t.t = (ln(N₀) - ln(N)) / λWe can use this formula to calculate the time elapsed between two measurements of uranium-238.
Let's assume that the initial amount of uranium-238 is 100 grams and the final amount is 25 grams. We can plug these values into the formula along with the decay constant we found earlier:t = (ln(100) - ln(25)) / (1.55 x 10⁻¹⁰)t ≈ 2.52 x 10¹⁰ years. Therefore, approximately 2.52 x 10¹⁰ years have elapsed between the two measurements.
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Which of the following could occur the net force acting on a truck is zero
Answer:
No net force means the truck reamains at rest or the motion of the truck does not change.
Explanation:
determine the tension in all cables present if the suspended mass at f is 20 kg.
Without additional information or a diagram, it is not possible to provide a specific solution for this problem. The tension forces in the cables will depend on the arrangement and geometry of the system.
Without a diagram or additional information, it is difficult to provide an accurate solution to this problem. However, in general, to determine the tension in all cables present in a system with a suspended mass, we can use the principle of equilibrium.
According to the principle of equilibrium, the sum of all forces acting on an object must be zero for the object to remain stationary. In this case, the suspended mass at f is in static equilibrium, meaning that the tension forces in all cables must balance the force of gravity acting on the mass.
Let T1, T2, T3, and T4 be the tension forces in the cables. The force of gravity acting on the mass can be calculated as:
Fg = m * g
where m is the mass of the object and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Fg = 20 kg * 9.8 m/s^2 = 196 N
suming that the cables are arranged such that they form a closed system, the principle of equilibrium can be used to write equations for the tension forces
where ∑Fx and ∑Fy are the sums of the horizontal and vertical forces, respectively. These equations can be solved simultaneously to find the tension forces.
Without additional information or a diagram, it is not possible to provide a specific solution for this problem. The tension forces in the cables will depend on the arrangement and geometry of the system.
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The magnitude of the electric field between two parallel charged plates is 200. An electron moves to the negative plate 5. 0 cm away. Two horizontal parallel plates have equally spaced vectors going from the top plate to the bottom plate labeled E and the plates are spaced a distance d apart. There is a negatively charged sphere is near the positively charged plate and a second is directly below and near the negatively charged plate. The two charged particles are connected by a dashed line vector point from the top to the bottom one. Find the electric potential difference and the work. Recall the charge of an electron is 1. 602 × 10–19 C. ΔV = V Round work to one decimal. W = × 10–18 J.
The potential difference between the two ends of the circuit is the electric potential difference. The electric potential difference and the work will be 10V and 1.6 x 10^-18 J respectively.
What is an electric field?An electric field is an electric property that is connected with any location in space where a charge exists in any form. The electric force per unit charge is another term for an electric field.
The given data in the problem is given by;
E is the electric field = (200 N/C)
d is the distance = 5.0 cm.=0.05 m
Q is the charge of electrons= 1.602 x 10^-19 C
The formula for electric potential is given by;
\(\rm V=Ed\)
\(\rm V=Ed \\\\ \rm V=200 \times 0.05 \\\\ \rm V= 10 \frac{Nm}{C} = 10 \frac{J}{C} = 10 V.\)
The work is defined as the product of the potential difference and charge of an electron.
\(\rm W= 10 \times 1.602 x 10^{-19} \\\\\ \rm W= 1.6 x 10^{-18 }J\)
Hence the electric potential difference and the work will be 10V and 1.6 x 10^-18 J respectively.
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first part is 10 second part is 1.6
Differentiate snowslide and GLOF
Answer:
As nouns the difference between snowslide and Glof is that snowslide is an avalanche of snow while glof is a globe.
Answer:
Snowslide:
A snowslide (also called an avalanche) is an event that occurs when a cohesive slab of snow lying upon a weaker layer of snow fractures and slides down a steep slope
It is a mass of snow, rock, ice, and soil that tumbles down a mountain.
Glof:
Glof is describe as sudden release of a significant amount of water retained in a glacial lake, irrespective of the cause.
Glof stand for “Glacial lake outburst flood”.
6. _______________ : when a certain number of waves pass a given point for a certain number of seconds? Group of answer choices A. wavelength C. amplitude D. height B. frequency
Ill give brainly-ist.
Answer:
b
kakanandnanjsnMajdnAnnznnzkkzid
Answer:
Frequency
Explanation:
I just took that test
A student fires a cannonball vertically upwards with a speed of 22.0m/s from a height of 40.0m. On the descent, the cannonball misses the building and lands on the ground. Determine all unknowns and answer the following questions. Neglect drag and horizontal motion of the cannonball.What was the cannonball's maximum height (measured from the ground)? With what speed did the cannonball strike the ground? What was the cannonball's total flight time?
We are given that an object is launched with an initial height and we are asked to determine its maximum height. To do that we will determine first the time it takes the object to reach the maximum height which is given by the following formula:
\(t=\sqrt[]{\frac{2v_0}{g}}\)Where:
\(\begin{gathered} t=\text{ time for maximum height} \\ v_0=\text{ initial velocity} \\ g=\text{ acceleration of gravity} \end{gathered}\)Replacing the values we get:
\(t=\sqrt[]{\frac{2(22\frac{m}{s})}{9.8\frac{m}{s^2}}}\)Solving the operations we get:
\(t=2.12s\)Now, to determine the height associated with this time we will use the following formula:
\(h=h_0+v_0t-\frac{1}{2}gt^2\)Where:
\(h_0=\text{ initial height}\)In this case, the initial height is 40 meters. Replacing the known values:
\(h=40m+(22\frac{m}{s})(2.12s)-\frac{1}{2}(9.8\frac{m}{s^2})(2.12s)^2\)Solving the operations:
\(h=64.61m\)Therefore, the maximum height the ball reaches measured from the ground is 64.61 meters.
Now we are asked to determine the final velocity of the object. To do that, we will use the following formula:
\(2gh=v^2_f-v^2_0\)Where:
\(\begin{gathered} h=\text{ }initial\text{ height} \\ v_f=\text{ final velocity} \end{gathered}\)Now we solve for the final velocity first by adding the square of the initial velocity:
\(2gh+v^2_0=v^2_f\)Now we take the square root to both sides:
\(\sqrt{2gh+v^2_0}=v^{}_f\)Replacing the known values:
\(\sqrt[]{2(9.8\frac{m}{s^2})(40m)+(22\frac{m}{s})^2}=v_f\)Solving the operations:
\(35.6\frac{m}{s}=v_f\)Therefore, the final velocity is 35.6 meters per second directed towards the ground.
Now we are required to determine the time the object stays in the air. To do that we will use the following formula:
\(v_f=v_0-gt\)We will solve for "t" first by subtracting the initial velocity from both sides:
\(v_f-v_0=-gt\)Now we divide both sides by the acceleration of gravity with the negative sign:
\(\frac{v_f-v_0}{-g}=t\)Now we replace the values, but we need to have into account that since the final velocity is directed towards the ground its sign is negative:
\(\frac{-35.6\frac{m}{s}-22\frac{m}{s}}{-9.8\frac{m}{s}}=t\)Solving the operations:
\(5.87s=t\)Therefore, the cannonball's total time is 5.87 seconds.
a cylinder and a hoop have the same mass and radius. they are released at the same time and roll down a ramp without slipping. 1)which one reaches the bottom first?
The cylinder will reach the bottom first.
How to Calculating the acceleration?In this case, the body acceleration should be applied to the incline.
Therefore, the equation listed below should be utilized.
gsin / (1 + k2 / r2) = a
Here
K is the gyrating radius.
r is the radius, and
Now
in hoop
k = r
gsin / (1 + r2 / r2) equals a.
= g / 2 x sinθ
0.5 gsinθ
as cylinder
k² = r² /2
A is equal to gsin / (1 + r2 /2 r2).
= 2 / 3 g sinθ
= .67 g sinθ
We can observe that the cylinder is more responsible for the acceleration.
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A 2,500 kg plane accelerates from rest at a rate of 86.8 m/s². Find the net force acting on the plane.
How much more energy per photon is there in green light of wavelength 516 nm than in red light of wavelength 610 nm
The energy per photon in green light of wavelength 516 nm is approximately 0.136 eV higher than in red light of wavelength 610 nm.
The energy of a photon can be calculated using the equation E = hc/λ, where E represents the energy, h is the Planck's constant (\(6.626 x 10^-34\) J*s), c is the speed of light (3\(3.00 x 10^8 m/s\)), and λ is the wavelength of light.
To determine the energy difference between green light (516 nm) and red light (610 nm), we can plug in the respective values into the equation.
For green light
E_green = \((6.626 x 10^-34 J*s * 3.00 x 10^8 m/s) / (516 x 10^-9 m)\)
E_green ≈\(3.84 x 10^-19 J\)
For red light:
E_red = \((6.626 x 10^-34 J*s * 3.00 x 10^8 m/s) / (610 x 10^-9 m)\)
E_red ≈ \(3.27 x 10^-19 J\)
The energy difference can be calculated as:
ΔE = E_green - E_red
ΔE ≈ \(3.84 x 10^-19 J - 3.27 x 10^-19 J\)
ΔE ≈ \(0.57 x 10^-19 J\)
Converting the energy difference to electron volts (eV):
1 eV ≈ \(1.6 x 10^-19 J\)
ΔE ≈ \(0.57 x 10^-19 J * (1 eV / 1.6 x 10^-19 J)\)
ΔE ≈ 0.36 eV
Therefore, the energy per photon in green light (516 nm) is approximately 0.36 eV higher than in red light (610 nm).
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10. If Ic is 250 times larger than Iß, then ɑdc = A. 250 C. 0.996 B. 0.99 D. 996
The value of ɑdc (alpha dc) is B. 0.99.
To determine the value of ɑdc (alpha dc), we need to analyze the relationship between Ic and Iß. The value of alpha dc represents the current gain in a transistor amplifier circuit.
If Ic is 250 times larger than Iß, it implies that Ic = 250 * Iß.
In a common-emitter transistor configuration, alpha dc (ɑdc) is defined as the ratio of the collector current (Ic) to the emitter current (Ie).
ɑdc = Ic / Ie
We can substitute Ie with the sum of Ic and Iß because Ie = Ic + Iß.
ɑdc = Ic / (Ic + Iß)
Dividing both the numerator and the denominator by Ic, we get:
ɑdc = 1 / (1 + (Iß / Ic))
Substituting Ic = 250 * Iß into the equation:
ɑdc = 1 / (1 + (Iß / (250 * Iß)))
ɑdc = 1 / (1 + (1 / 250))
ɑdc = 1 / (251 / 250)
ɑdc = 250 / 251
Therefore, the value of ɑdc (alpha dc) is B. 0.99.
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What causes atoms to bond together
?!?
Answer:
electrostatic attraction
Explanation:
Atoms form chemical bonds with other atoms when there's an electrostatic attraction between them. This attraction results from the properties and characteristics of the atoms' outermost electrons, which are known as valence electrons.
can someone do my physics test please? 100P
your answer is c bro but if not then it's b
because you just choose c or b either one should work if you right it down right
What would be the diameter of the earth if it had the density of a neutron star
Answer:
At neutron star density, the Earth's whole mass would fit inside a 305-meter-diameter sphere.
Explanation:
Density changes are responsible for which method of thermal energy transfer.
Answer:
convection
Explanation:
because in convection, molecules move with heat(i.e wind). So, when molecules move to another place, the mass will be reduce and the density will change
How much power is used by a 120 V circuit using 6 amps?
Answer:
P= 720 watt
Explanation:
P= IV
P= (6)(120)
P= 720 watt
a capacitor consists of a container with two square metal walls of side I 40 cm. parallel and placed vertically, one of which is movable in the direction z orthogonal to it. The distance between the two walls is initially zo 5 mm. The remaining walls of the vessel are made of insulating material, ie, the two metal walls are insulated. The vessel is initially filled up to the level = 30 cm with a liquid of dielectric constante 2.5 and a charge Q= 15 mC is deposited on the plates. Determine, as a function of r a) the capacitance of the container: b) the electrostatic energy stored by the capacitor; e) the electrostatic force acting on the metal walls (ie. the contribution of pressure is not calculated hydrostatic). Then compute a) b) c) giving the values for 10mm.
a) The capacitance of the container can be determined using the formula C = ε₀A/d, where ε₀ is the vacuum permittivity, A is the area of the plates, and d is the distance between the plates. In this case, the area A is given by the square of the side length, which is 40 cm. The distance d is initially 5 mm.
b) The electrostatic energy stored by the capacitor can be calculated using the formula U = (1/2)CV², where U is the energy, C is the capacitance, and V is the voltage across the capacitor. In this case, the voltage V can be calculated by dividing the charge Q by the capacitance C.
c) The electrostatic force acting on the metal walls can be determined using the formula F = (1/2)CV²/d, where F is the force, C is the capacitance, V is the voltage, and d is the distance between the plates. The force is exerted in the direction of the movable plate.
a) The capacitance of the container is a measure of its ability to store electric charge. It depends on the geometry of the container and the dielectric constant of the material between the plates. In this case, since the container consists of two parallel square plates, the capacitance can be calculated using the formula C = ε₀A/d.
b) The electrostatic energy stored by the capacitor is the energy associated with the electric field between the plates. It is given by the formula U = (1/2)CV², where C is the capacitance and V is the voltage across the capacitor. The energy stored increases as the capacitance and voltage increase.
c) The electrostatic force acting on the metal walls is exerted due to the presence of the electric field between the plates. It can be calculated using the formula F = (1/2)CV²/d, where C is the capacitance, V is the voltage, and d is the distance between the plates. The force is exerted in the direction of the movable plate and increases with increasing capacitance, voltage, and decreasing plate separation.
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Owen throws a baseball straight upward. We can ignore air resistance.
What is true about the acceleration and velocity of the ball on its way up?
Answer:
The acceleration of the ball is constant and equal to -9.81 m/s² (acting downwards)
The velocity of the ball reduces at a constant rate with time on its way up
Explanation:
The motion of the ball upwards is described by the following equation;
v = u - g × t
v² = u² - 2 × g × s
Where;
v = The final velocity of the ball
u = The initial velocity of the ball
g = The acceleration due to gravity = Constant
s = The height of the bass after a given time, t
t = The time in which the ball is rising
Therefore, the acceleration of the ball = The acceleration due to gravity (Constant) = -9.81 m/s²↓
From v = u - g × t = u - 9.81 × t , the velocity of the ball reduces at a constant rate with time on its way up.
Answer:
Acceleration remains constant and velocity decreases
Explanation:
Definition: The energy transferred by a force to a moving object.
Answer:
Force applied
Explanation:
An object will remain at its state of rest unless a non zero for act on it
Suppose the temperature of the core of the sun increased a little. what would happen next?
If the temperature of the core of the sun increased a little the nuclear fusion reaction inside the core will increase causing the expansion of the core.
Nuclear fusion reactions take place inside the core of the sun which is the source of the sun's energy. One of the main conditions for nuclear fusion reaction to take place is extremely high temperature. The rate of nuclear fusion reaction will increase with increase in temperature. Due to increase in temperature the region of fusion reaction expands.
Thus the core of the sun expands. As the reaction rate increase, it also causes an increase in the sun's radiation.
Hence, the nuclear fusion reaction inside the core will increase causing the expansion of the core.
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A car traveling at 25 meters per second is brought to stop by a force over a 10 second timer interval. What was the acceleration of the car during the 10 second time interval.
Answer:
–2.5 m/s²
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 25 m/s
Final velocity (v) = 0 m/s
Time (t) = 10 s
Acceleration (a) =?
Acceleration can simply be defined as the rate of change of velocity with time. Mathematically, it can be expressed as:
a = (v – u) /t
Where:
a => is the acceleration
v => is the final velocity
u => is the initial velocity
t => is the time.
With the above formula, we can obtain the acceleration of the car as follow:
Initial velocity (u) = 25 m/s
Final velocity (v) = 0 m/s
Time (t) = 10 s
Acceleration (a) =?
a = (v – u) /t
a = (0 – 25) /10
a = –25 / 10
a = –2.5 m/s²
The acceleration of the car is –2.5 m/s². The negative sign indicate that the car is decelerating i.e coming to rest.
what term is used to describe the number of times a sound card takes to create the reproduction of the original sound?
The term used to describe the number of times a sound card takes to create the reproduction of the original sound is known as Sampling Rate.
What is Sampling Rate?In digital audio technology, sampling rate is the number of samples of audio carried per second. It is measured in Hertz or cycles per second, and it is typically represented as kHz or kilohertz. For example, a sampling rate of 44.1 kHz means that 44,100 samples of audio are carried in one second.
The higher the sampling rate, the more samples of audio are taken per second, which leads to better quality audio reproduction.
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an electrically charged object can be used to attract:
An electrically charged object can be used to attract any object with an opposite charge.
This is due to the fundamental principle that opposites attract and repel in physics.
Electric charge is a fundamental property of matter that gives rise to electromagnetic interactions. An electric charge, whether positive or negative, produces an electric field that surrounds it. This field exerts a force on any other charge in its vicinity that is either attracted to or repelled from it. Electric charge is a fundamental property of matter that produces a variety of electric phenomena. When the charge is concentrated in a localized region of space, the object is electrically charged. When there is a net accumulation of charge in an object, it becomes electrically charged. An electrically charged object produces an electric field in its vicinity, which exerts a force on other charged objects. An electrically charged object can be used to attract objects with an opposite charge or repel objects with the same charge.
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