# Solution - A Spherical Conducting Shell of Inner Radius R1 and Outer Radius R2 Has a Charge Q. - Electrostatics of Conductors

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#### Question

A spherical conducting shell of inner radius r1 and outer radius r2 has a charge Q.

(a) A charge is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?

(b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.

#### Solution

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A 4 µF capacitor is charged by a 200 V supply. It is then disconnected from the supply, and is connected to another uncharged 2 µF capacitor. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation?

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a) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by

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Where hatn is a unit vector normal to the surface at a point and σ is the surface charge density at that point. (The direction of hatn is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is σ hatn/in_0

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Solution for question: A Spherical Conducting Shell of Inner Radius R1 and Outer Radius R2 Has a Charge Q. concept: Electrostatics of Conductors. For the courses 12th CBSE (Arts), 12th CBSE (Commerce), 12th CBSE (Science)
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