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Three uncharged capacitors of capacitance C1,C2 and C3 are connected as shown in the figure to one another at point O. Points A, B and D are at potentials VA, VB and VD respectively. Then the potential at O will be,: 

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Important Questions on Capacitance

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In the circuit shown in the figure, the total charge is 750 μC and the voltage across capacitor C2 is 20 V. Then the charge on capacitor C2 is :

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MEDIUM
A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system
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A capacitor of capacitance C charged by an amount Q is connected in parallel with an uncharged capacitor of capacitance 2C. The final charges on the capacitors are
HARD
An initially uncharged capacitor C is being charged by a battery of emf E through a resistance R upto the instant when the capacitor is charged to the potential E/2, the ratio of the work done by the battery to the heat dissipated by the resistor is given by:-
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In the circuit given below, the capacitor C is charged by closing the switch S1 and opening the switch S2. After charging, the switch S1 is opened and S2 is closed, then the maximum current in the circuit

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HARD

Two rods of copper and iron with the same cross-sectional area are joined at S and a steady current I flows through the rods as shown in the figure.
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Choose the most appropriate representation of charges accumulated near the junction S.

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In the given circuit, the charge on 4μF capacitor will be:
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MEDIUM

In the circuit shown, the switch S is initially closed for a long time. The switch is now opened so that the capacitor gets charged.

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The time constant of the circuit is

HARD

A capacitor of μF is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated is

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EASY
The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure:
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What is the value of current at t=4 s?
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A capacitor is connected to a 20 V battery through a resistance of 10Ω. It is found that the potential difference across the capacitor rises to 2 V in 1 μs. The capacitance of the capacitor is ________μF.
Given In 109=0.105
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Calculate the amount of charge on capacitor of 4 μF. The internal resistance of battery is 1Ω:

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EASY
A capacitor of capacitance 4μF is charged to a potential of 100 V. It is then disconnected from the battery and connected in parallel with another capacitor C2. If their common potential is 40 volts, then the value of C2 is
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A neutral spherical copper particle has a radius of 10 nm1 nm=10-9 m. It gets charged by applying the voltage slowly adding one electron at a time. Then, the graph of the total charge on the particle versus the applied voltage would look like
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As shown in the figure below, if a capacitor C is charged by connecting it with resistance R, then energy given by the battery will be

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Two isolated metallic solid spheres of radii R and 2R are charged such that both have same charge density σ . The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is σ'. The ratio σ'σ is :
HARD
Two identical metallic spheres A and B when placed at certain distance in air repel each other with a force of F. Another identical uncharged sphere C is first placed in contact with A and then in contact with B and finally placed at midpoint between spheres Aand B. The force experienced by sphere C will be :
EASY
Two identical conducting spheres A and B carry an equal charges. They are separated by a distance much larger than their diameters, and the force between them is F. A third identical conducting sphere, C, is uncharged. Sphere C is first touched to A, then to B, and then removed. As a result, the force between A and B would be equal to:
EASY

In the given circuit diagram,

E=5 V, r=1 Ω, R2=4 Ω, R1=R3=1 Ω and C=3 μF

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Then, what will be the numerical value of charge on each plates of the capacitor.

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An electric bulb, a capacitor, a battery and a switch are all in series in a circuit. How does the intensity of light vary when the switch is turn on?