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99 Percentile Qs Bank for JEE MainPhysicsCapacitance

Two capacitors of capacitance C are connected in series. If one of them is filled with dielectric substance K , the effective capacitance is

Options

  1. AK C ( 1 + K )
  2. BC ( K + 1 )
  3. C2 K C ( 1 + K )
  4. DNone of these

Correct answer

A. K C ( 1 + K )

Step-by-step solution

When plates of capacitor are separated by a dielectric medium of dielectric constant K , its capacity C m = K ε 0 A d = K C 0 i e , C m = K C 0 Here, C 0 = C ∴ C m = K C Now, two capacitors of capacities K C and C are in series, their effective capacitance 1 C ′ = 1 K C + 1 C or 1 C ′ = 1 + K K C ∴ C ′ = K C K + 1

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