A very long insulating cylindrical shell of radius 6.00 cm carries a charge of 8.50 μC/m (linear charge density) spreading uniformly over its outer surface. What would a voltmeter read if it is connected between (a) the surface of the cylinder and 4.00 cm away (outward) from the surface, and (b) the surface and a point 1.00 cm from the central axis of the cylinder?

(a). The potential is 78.0 kV.

(b). The potential is zero.

Explanation:

Given that,

Radius = 6.00

Charge density = 8.50 μC/m

(a). The surface of the cylinder and 4.00 cm away from the surface,

We need to calculate the voltage

Using formula of potential

Put the value into the formula

(b). The surface and a point 1.00 cm from the central axis of the cylinder

Here, r = R

We need to calculate the voltage

Using formula of potential

Put the value into the formula

Hence, (a). The potential is 78.0 kV.

(b). The potential is zero.

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