Two parallel capacitors of capacitances C and 2C are connected in parallel and charged to a potential V. The battery is then disconnected and the space between the plates of the first capacitor is filled with a material of dielectric constant k. The potential difference across the capacitors is
A. \(\frac{3 V}{k}\)
B. \(\frac{3 V}{k+2}\)
C. \(\frac{3 V}{3k+2}\)
D. \(\frac{4 V}{2k+3}\)
Answer:C
Two parallel capacitors of capacitances C and 2C are connected in parallel and charged to a potential V. The battery is then disconnected and the space between the plates of the first capacitor is filled with a material of dielectric constant k. The potential difference across the capacitors is
A. \(\frac{3 V}{k}\) B. \(\frac{3 V}{k+2}\) C. \(\frac{3 V}{3k+2}\) D. \(\frac{4 V}{2k+3}\)