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Electric Field inside a Conductor under Electrodynamic Conditions

If a table te...

Question

If a table tennis ball is covered by a conducting paint and is suspended by a silk thread to hang in between two plates one out of which one is earthed and other is connected to high voltage generator, then the ball will

A

Swing forward and backward hitting each plate in turn

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B

Hang without moving

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C

Attracted to earthed plate and stays there

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D

Attracted towards high voltage plate and stays there

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Solution

The correct option is A Swing forward and backward hitting each plate in turn
As ball is painted by a conducting paint, it is attracted by high voltage plate, when charge is shared, ball is repelled until it goes to other plate and whole of the charge is transferred to the earth and process is repeated.

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Consider an evacuated cylindrical chamber of height

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having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with a conducting material are placed on the bottom plate. The balls have a radius

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Q. PARAGRAPH
Consider an evacuated cylindrical chamber of height

h

having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with a conducting material are placed on the bottom plate. The balls have a radius

r << h

. Now a high voltage source (HV) is connected across the conducting plates such that the bottom plate is at

+ V_{0}

and the top plate at

- V_{0}

. Due to their conducting surface, the balls will get charged, will become equipotential with the plate and are repelled by it. The balls will eventually collide with the top plate, where the coefficient of restitution can be taken to be zero due to the soft nature of the material of the balls. The electric field in the chamber can be considered to be that of a parallel plate capacitor. Assume that there are no collisions between the balls and the interaction between them is negligible. (Ignore gravity)

Which one of the following statements is correct?

Q. PARAGRAPH
Consider an evacuated cylindrical chamber of height

h

having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with a conducting material are placed on the bottom plate. The balls have a radius

r << h

. Now a high voltage source (HV) is connected across the conducting plates such that the bottom plate is at

+ V_{0}

and the top plate at

- V_{0}

. Due to their conducting surface, the balls will get charged, will become equipotential with the plate and are repelled by it. The balls will eventually collide with the top plate, where the coefficient of restitution can be taken to be zero due to the soft nature of the material of the balls. The electric field in the chamber can be considered to be that of a parallel plate capacitor. Assume that there are no collisions between the balls and the interaction between them is negligible. (Ignore gravity)

The average current in the steady state registered by the ammeter in the circuit will be

Q. PARAGRAPH
Consider an evacuated cylindrical chamber of height

h

having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with a conducting material are placed on the bottom plate. The balls have a radius

r << h

. Now a high voltage source (HV) is connected across the conducting plates such that the bottom plate is at

+ V_{0}

and the top plate at

- V_{0}

. Due to their conducting surface, the balls will get charged, will become equipotential with the plate and are repelled by it. The balls will eventually collide with the top plate, where the coefficient of restitution can be taken to be zero due to the soft nature of the material of the balls. The electric field in the chamber can be considered to be that of a parallel plate capacitor. Assume that there are no collisions between the balls and the interaction between them is negligible. (Ignore gravity)

The average current in the steady state registered by the ammeter in the circuit will be

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