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MHT CET202616 April 2026Morning ShiftPhysicsCapacitanceActual

Two condensers of capacities, '2C' and 'C' are joined in parallel and charged upto potential 'V'. The battery is then disconnected and condenser of capacity 'C' is filled completely with a medium of dielectric constant 'K'. The potential difference across the capacitors in the second case is

Options

  1. A3 V ( K +2)
  2. BV ( K +2)
  3. C5 V ( K +2)
  4. D2 V ( K +2)

Correct answer

A. 3 V ( K +2)

Step-by-step solution

Initial equivalent capacitance of the parallel combination is C_ eq = 2C + C = 3C . Total charge stored in the capacitors when charged to potential V is Q = C_ eq V = 3CV . When the battery is disconnected, the total charge Q remains conserved. The capacitor of capacity C is filled with a dielectric of constant K , so its new capacitance becomes KC . The new equivalent capacitance of the parallel combination is C'_ eq = 2C + KC = C(K + 2) . The new potential difference V' across the capacitors is given by V' = Q C'

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