Question
Easy
Solving time: 2 mins
(a) Two spheres have radii and and their centres are at distance apart. Show that the capacitance of this system is
provided that is large compared with and .
(b) Show that as approaches infinity the above result reduces to that of two isolated spheres in series. Note : In series, .
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Text solutionVerified
(a)
If is given to first sphere and to second sphere, then
(b) If , then
In series,
Hence Proved.
If is given to first sphere and to second sphere, then
(b) If , then
In series,
Hence Proved.
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Question Text | (a) Two spheres have radii and and their centres are at distance apart. Show that the capacitance of this system is provided that is large compared with and . (b) Show that as approaches infinity the above result reduces to that of two isolated spheres in series. Note : In series, . |
Topic | Electrostatic Potential and Capacitance |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |
Upvotes | 108 |