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Question

Two long coaxial and conducting cylinders of radius a and b are separated by a material of conductivity σ and a constant potential difference V is maintained between them, by a battery. Then the current, per unit length of the cylinder following from one cylinder the other is:

A
4πσn(b/a)V
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B
4πσ(b+a)V
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C
2πσ(b+a)V
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D
2πσn(b/a)V
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Solution

The correct option is D 2πσn(b/a)V

I=I/A=σE.

E=I2πσL1s^r.

V=baEds=ba(I2πσL)1sds.

=I2πσLln(b/a)

I=(2πσL)Vln(b/a)


1007026_1029075_ans_f8ee21023f314a00a1d912410941a445.PNG

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