Physics miscellaneousHard

Question

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.

Options

A.A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
B.A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.
C.No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.
D.No potential difference appears between the two cylinders when same charge density is given to both the cylinders.

Solution

dV = -
and E =
where r is distance from the axis of cylindrical charge distribution (r is equal to or greater than radius of cylindrical charge distribution).

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