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JEE Main20199 Apr 2019Evening ShiftPhysicsCapacitanceActual

The parallel combination of two air filled parallel plate capacitors of capacitance C and n C is connected to a battery of voltage, V . When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant K is placed the two plates of the first capacitor. The new potential difference of the combined system is:

Options

  1. An + 1 V K + n
  2. Bn V K + n
  3. CV K + n
  4. DV

Correct answer

A. n + 1 V K + n

Step-by-step solution

i) ii) Battery disconnected after full charge, Total charge of the system, = C V + n C V = n + 1 C V iii) Inserting dielectric of constant K Common potential, V C = t o t a l   c h a r g e t o t a l   c a p a c i t a n c e = n + 1 C V K C + n C = n + 1 V K + n

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