Two identical air core capacitors are connected in series to a voltage source of 15 V . If one of th

Question

Two identical air core capacitors are connected in series to a voltage source of 15 V . If one of the capacitors is filled with medium of dielectric constant 4, the new potential across this capacitor is\

Professor PC Thomas Classes · Answer

$\mathrm{q}=\mathrm{CV}$ When capacitors are in series q is the same.\ $\mathrm{V}_{1}+\mathrm{V}_{2}=\mathrm{V}$\ $	herefore \frac{\mathrm{q}}{\mathrm{C}}+\frac{\mathrm{q}}{4 \mathrm{C}}=15 \Rightarrow \frac{5 \mathrm{q}}{4 \mathrm{C}}=15 \cdot \frac{\mathrm{q}}{4 \mathrm{C}}=3 \mathrm{~V}$\ With dielectric constant 4. $\mathrm{C}_{2}$ is now 4C. across the capacitor with dielectric, the potential is V\