A parallel - plate capacitor filled with air carries a charge \(Q\). The battery is disconnected, and a slap of material with dielectric constant \(k=2\) is inserted between the plates. Which of the following statements is true?
A. The voltage across the capacitor decreases by a factor of 2 B. The voltage across the capacitor is doubled C. The charge on the plate is doubled. D. The charge on the plate decreases by a factor of 2
Correct Answer: A
Explanation
Since \(V=\frac{Q}{C}\) and \(C \alpha k\) so, increasing \(k\), increases \(C\) and consequently decreasing \(V\)
