A parallel plate air capacitor is charged, and then the battery is disconnected. Now on inserting a dielectric between the plates of the capacitor, which of the following change: (A) potential difference between the plates Choose the correct answer from the options given below: |
(A), (B) and (D) only (A), (C) and (D) only (B), (C) and (D) only (A), (B), (C) and (D) |
(A), (C) and (D) only |
The correct answer is Option (2) → (A), (C) and (D) only
When the capacitor is disconnected from the battery, charge $Q$ remains constant. On inserting a dielectric of constant $K$: $C' = KC$ $V' = \frac{Q}{C'} = \frac{V}{K}$ → decreases $E' = \frac{V'}{d} = \frac{E}{K}$ → decreases $U' = \frac{1}{2} C' V'^2 = \frac{1}{2} KC \left(\frac{V}{K}\right)^2 = \frac{U}{K}$ → decreases ∴ The quantities that change are (A), (C), and (D). |