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Question: Answered & Verified by Expert
A spherical capacitor consists of two concentric spherical conductors. Find the capacitance of the spherical capacitor if the outer radius is 2R and the inner radius is R.
PhysicsMagnetic Effects of CurrentTS EAMCETTS EAMCET 2021 (04 Aug Shift 1)
Options:
  • A 4πε0R
  • B 8πε0R
  • C 8πε0R
  • D 4πε0R
Solution:
1965 Upvotes Verified Answer
The correct answer is: 8πε0R

In the above case, the formula of spherical capacitor consists of two concentric spherical conductors of radius, r1 and r2 is, C=4πε0r1r2r1-r2

Here r1=R and r2=2R, now put the values in the above formula, 
C=4πε0R2R2R-R=8πε0R

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