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AP EAMCET2011PhysicsCapacitance

Two identical condensers M and N are connected in series with a battery. The space between the plates of M is completely filled with a dielectric medium of dielectric constant 8 and a copper plate of thickness d 2 is introduced between the plates of N . ( d is the distance between the plates). Then potential differences across M and N are, respectively, in the ratio

Options

  1. A1 : 4
  2. B4 : 1
  3. C3 : 8
  4. D1 : 6

Correct answer

A. 1 : 4

Step-by-step solution

Let the capacitance of condensor, M=C The new capacitance of condensor, C_M=8 C The capacitance of condensor, N=C The new capacitance of condensor, C_N= C^ 2 where C^ = A ₀ d / 4 = 4 A ₀ d =4 C C_N= C^ 2 = 4 C 2 =2 C Since the two condensers are connected in series aligned V_M: V_N & = 1 C_M : 1 C_N & = 1 8 C : 1 2 C =1: 4 V_M: V_N & =1: 4 aligned

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