OnlineCBT
Physics · Electrostatic Potential
हिन्दीA parallel plate capacitor is charged by a DC battery and remains continuously connected to it. A dielectric slab of dielectric constant \( K > 1 \) is now slowly inserted into the space between the plates. Consider the following statements: (A) The potential difference between the plates remains constant. (B) The electric field between the plates decreases by a factor of \( K \). (C) The capacitance of the capacitor increases by a factor of \( K \). (D) The electrostatic energy stored in the capacitor increases by a factor of \( K \). Which of the above statements are correct?
Correct answer · Option 1
(A), (C) and (D) only
Explanation
Since the battery remains connected, \( V = \text{constant} \) (Statement A is true) and \( E = V/d = \text{constant} \) (Statement B is false). Capacitance becomes \( C' = KC \) (Statement C is true). Energy \( U = \frac{1}{2} C V^2 \) becomes \( K U_0 \) (Statement D is true). Thus, (A), (C), and (D) are correct.
