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Electric Potential at a Point in Space Due to a Point Charge Q

A thick shell...

Question

A thick shell with inner radius $R$ and outer radius $3 R$ has a uniform charge density $c / m^{3}$ .It has a spherical cavity of radius $R$ as shown in the figure. The electric field at the center of the cavity is:-

zero.

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2R/o

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3R/42R/oo

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7R/12o

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Solution

The correct option is A zero.

inner radius $= R$
outer radius $= 3 R$
charge density $= C / m^{3}$
Spherical cavity of radius $= R$
Due to the equipotential surface, the centre has no electric field hence $E_{c e n t r e} = 0$

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