Question

Five identical capacitor plates, each of area $A$, are arranged such that adjacent plates are at distance $d$ apart. The plates are connected to a source of emf $V$ as shown in figure. Then the charges on plates 1 and 4 are, respectively,

• A. $\frac{{\epsilon }_{0}AV}{d},\frac{2{\epsilon }_{0}AV}{d}$
• B. $\frac{2{\epsilon }_{0}AV}{d},\frac{2{\epsilon }_{0}AV}{d}$
• C. $\frac{{\epsilon }_{0}AV}{d},\frac{-2{\epsilon }_{0}AV}{d}$
• D. $\frac{{\epsilon }_{0}AV}{d},\frac{-{\epsilon }_{0}AV}{d}$

Answer 1

Answer: (C)

Charge on plate $1=\frac{{\epsilon }_{0}AV}{d}$
Charge on plate $4=-\frac{2{\epsilon }_{0}AV}{d}$