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KVPY2014PhysicsCapacitance

two identical parallel plate capacitors of capacitance C each are connected in series with abattery of emf, E as shown, If one of the capacitors is now filled with a dielectric of dielectric constant k , the amount of charge which will flow through the battery is (neglect internal resistance of the battery)

Options

  1. Ak+1 2(k-1) C E
  2. Bk-1 2(k+1) C E
  3. Ck -2 k +2 CE
  4. Dk +2 k -2 CE

Correct answer

B. k-1 2(k+1) C E

Step-by-step solution

array l Q= C 2 E C e q= C K C C+K C = C² K C(1+k) = C K 1+K Q= C K 1+k E Q= ( C K 1+k - C 2 ) E array aligned Q &= ( C K 1+k - C 2 ) E &= 2 c k-c(k-1) 2(1+k) &= 2 c k-c k-c 2(1+k) = c k-c 2(1+k) aligned

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