Five capacitors of capacitances $C_1 = C_2 = C_3 = C_4 = 10 \mu F$ and $C_5 = 2.5 \mu F$ are connected in a bridge configuration, where $C_1$ and $C_2$ are in one arm, $C_4$ and $C_3$ are in the other, and $C_5$ is the central capacitor. The combination is connected to a $50 \ V$ battery. Find the equivalent capacitance of the network and the charge on each capacitor.

• A
  $4 \mu F$, $250 \mu C$ on $C_1$ to $C_4$ and $125 \mu C$ on $C_5$
• B
  $5 \mu F$, $250 \mu C$ on $C_4$
• C
  $10 \mu F$, $125 \mu C$ on $C_1$ to $C_4$ and $25 \mu C$ on $C_5$
• D
  $10 \mu F$, $250 \mu C$ on $C_1, C_2, C_3, C_4$ and $0 \mu C$ on $C_5$