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The equivalent capacitance between A and B , where two concentric spherical shells having radius a and b are connected as shown in the figure.

Options

  1. A4 πε 0 ab b - a + 4 πε 0 b
  2. B4 πε 0 b
  3. C4 πε 0 ab b - a
  4. Dnone

Correct answer

A. 4 πε 0 ab b - a + 4 πε 0 b

Step-by-step solution

Between the inner shell and outer shell, the capacitance of the system is C AB = 4 πε 0 ab b - a Between the outer shell and infinity C B ∞ = 4 πε 0 b ⇒ C total = 4 πε 0 ab b - a + 4 πε 0 b

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