Four identical capacitors are connected as shown in diagram. When a battery of 6 V is connected betw

Question

Four identical capacitors are connected as shown in diagram. When a battery of 6 V is connected between A and B , the charge stored is found to be $1.5 \mu \mathrm{C}$. The value of $\mathrm{C}_{1}$ is\

Professor PC Thomas Classes · Answer

The capacitance across A and B  $$ =\frac{\mathrm{C}_{1}}{2}+\mathrm{C}_{1}+\mathrm{C}_{1}=\frac{5}{2} \mathrm{C}_{1} $$  This is the equivalent diagram\ As $\mathrm{Q}=\mathrm{CV}$,\ $1.5 \mu \mathrm{C}=\frac{5}{2} \mathrm{C}_{1} 	imes 6$\ $\Rightarrow C_{1}=\frac{1.5}{15} 	imes 10^{-6}$\