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PhysicsJEE Main 21 Jan 2026, Shift 1·Q9·MCQ·Easy–moderate

Electric Potential and Capacitance · Capacitance

A parallel plate capacitor has capacitance CC, when there is vacuum within the parallel plates. A sheet having thickness (13)rd\left(\frac13\right)^{\text{rd}} of the separation between the plates and relative permittivity KK is introduced between the plates. The new capacitance of the system is:
  1. (1)3KC2K+1\dfrac{3KC}{2K+1}
  2. (2)CK2+K\dfrac{CK}{2+K}
  3. (3)3CK2(2K+1)2\dfrac{3CK^2}{(2K+1)^2}
  4. (4)4KC3K−1\dfrac{4KC}{3K-1}

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