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Q.
Consider the circuit given in figure. The charge in $\mu C$ on the capacitor having capacity $5\,\mu F$ is
Electrostatic Potential and Capacitance
Solution:
$C_{2}$ and $C_{3}$ are in parallel
$\therefore C_{4}=C_{2}+C_{3}=7\, \mu F$
$C_{1}$ and $C_{4}$ are in series
$\therefore \frac{1}{C_{ cq }}=\frac{1}{7}+\frac{1}{3}=\frac{10}{21}$
or $C_{ eq }=2.1 \,\mu F$
Therefore, the total charge
across the arm $Ab = 2.1 \times 6 = 12.6 \,\mu C$
The total potential across $C_{2}$ and $C_{3}$ is
$V=\frac{12.6}{7}=1.8 \,V$
$\therefore $ Charge across $5\, \mu F =1.8 \times 5=9 \,\mu C$
