Current Electricity 1 Question 1
1. Space between two concentric conducting spheres of radii and is filled with a medium of resistivity . The resistance between the two spheres will be
(a)
(b)
(c)
(d)
(2019 Main, 10 April II)
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Solution:
- Key Idea Resistance between surface of inner shell and a circumferential point of outer shell can be formed by finding resistance of a thin (differentially thin) shell in between these two shells. Then, this result can be integrated (summed up) to get resistance of the complete arrangement.
For an elemental shell of radius
Resistance,
So, resistance of complete arrangement is