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Question

A uniformly charged spherical conductor has a radius of 1m and surface charge density 0.8Cm2. The electric field magnitude because of this at a point 1m radially away, from the surface of the sphere is


A

4.5×109NC

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B

9×109NC

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C

2.25×1010NC

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D

7.2×109NC

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Solution

The correct option is C

2.25×1010NC


While calculating electric field at any outside point (outside the surface I mean), a sphere behaves like a point charge and the electric field magnitude is given by

Here it is given σ=0.8Cm2

As Q=σ×area

=σ×4πR2

We have Q=0.8×4π×12

10C

Remember that the ‘r’ in the equation of electric field is the distance from the centre of the sphere and not from its surface.

So here r = R + distance from surface

= 1m + 1m (given)

=2m

|E|=9×109×10C22=2.25×1010NC


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