Question

The capacities and connection of five capacitors are shown in the figure below. The potential difference between the points $A$ and $B$ is $60$ volts. Then the equivalent capacity between $A$ and $B$ and the charge on $5\, \mu F$ capacitance will be respectively

• A. $44\, \mu F ,\, 300\, \mu C$
• B. $16\, \mu F ,\, 150\, \mu C$
• C. $15\, \mu F ,\, 200\, \mu C$
• D. $4\, \mu F ,\, 50\, \mu C$

Answer 1

Answer: (D)

The given circuit can be redrawn as follows:

Equivalent capacitance of the circuit, $C_{A B}=4\, \mu F$
Charge given by the battery
$Q=C_{e q} V=4 \times 60=240\, \mu C$
Charge in $5\, \mu F$ capacitor
$Q'=\frac{5}{(10 +5+9)} \times 240=50\, \mu C$