A capacitor is filled with a dielectric material having resistivity $ρ$ and dielectric constant K . The capacitor is charged (charge $Q_{0}$ ) and disconnected from the charging source. The capacitor is slowly discharged through the dielectric. Which of the following is/are correct?

Question

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Q ( t ) = Q 0 ​ e − t / τ where τ = ρ K ϵ 0 ​ . E ( t ) = K ϵ 0 ​ A Q ( t ) ​ J = ρ E ​ J d ​ = ∂ t ∂ D ​ = K ϵ 0 ​ ∂ t ∂ E ​ ∂ t ∂ E ​ = − ρ K ϵ 0 ​ E ​ This implies that J + J d ​ = 0 . ∇ × B = μ 0 ​ ( J + J d ​ ) = 0 (A) is false. (B) and (D) are false, since the Poynting vector S = μ 0 ​ 1 ​ E × B = 0 . (C) is true.

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JEE Advanced 2026