MEDIUM
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Consider a half circular disc of radius R having uniform surface charge density σ. A disc of radius R2 is removed from the half disc as shown in figure. Find potential at O (in V)(centre of complete disc) σR2ε0=54ππ-2 V
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Important Questions on Electrostatic Potential and Capacitance

HARD
JEE Main/Advance
IMPORTANT
In the given circuit, the switch S was initially open. If the switch is closed now, then amount of charge flown through the switch S is
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HARD
JEE Main/Advance
IMPORTANT
A cylindrical air capacitor of length , inner radius R and outer radius 2R is connected to a battery of emf E as shown in figure. A particle of charge +q and mass m is released from rest from inner surface of capacitor. The speed of particle when it reaches to the mid-point of plates, is
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MEDIUM
JEE Main/Advance
IMPORTANT
Three identical conducting plates are arranged as shown in figure and they are given charges as indicated. When switch S is closed, the amount of charge flown through the switch is
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HARD
JEE Main/Advance
IMPORTANT
A charged particle having charge q and mass m accelerated by a potential difference V0 enters inside a parallel plate capacitor (parallel to length of plates) at midpoint of its separation between plates at t=0. Potential difference across capacitor varies with time t as, V=adt, where a is constant and d is separation between plates. Angle of deviation as it comes out of plates, is π4. Value of ma2l42qV03, will be
MEDIUM
JEE Main/Advance
IMPORTANT

Six capacitors each of capacitance C is connected as shown in the figure and initially all the capacitors are uncharged. Now a battery of emf =ε is connected. How much charge will flow through the battery if the switch is on?

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HARD
JEE Main/Advance
IMPORTANT

There are two conducting spheres of radius a and b (b>a) carrying equal and opposite charges. They are placed at a separation d(>>>a & b). The capacitance of the system is

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MEDIUM
JEE Main/Advance
IMPORTANT

Find the equivalent capacitance of the infinite ladder shown in the figure, between the points A and B.

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HARD
JEE Main/Advance
IMPORTANT

The figure given below shows a system of three concentric metal shells AB and C with radii a2a and 3a respectively. Shell B is earthed and the shell C is given a charge Q. Now, if shell C is connected to the shell A then the final charge on the shell B is equal to

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