question_answer 25)

Obtain the equivalent capacitance of the network in figure. For a 300 V supply, determine the charge and voltage across each capacitor.

Answer:

The equivalent circuit is as shown below:                 Potential difference across C4 is in the ratio 2 : 1                 i.e. 200 V                 Charge on C4 = C4V4                 = 100 × 200 × 10?12 =2 × 10?8C                 Potential difference across C1 = 100 V                 Charge on C1 = C1 × V1                 = 100 × 100 × 10?12 = 1 × 10?8 C                    Potential difference across C2 and C3 is 50 V each.                  Charge on C2 or C3 = C2 V2                 = 200 × 50 × 10?12 = 10?8C.