Question

find the equivalent capacitance of the capacitors!​

Answer 1

$\mathtt{\huge{ \fbox{Solution :)}}}$

Clearly , C and C are connected in parrallel

Thus ,

➡C' = C + C

➡C' = 2C

The capacitance C' form a series combination with C and C

Thus ,

➡1/C'' = 1/2C + 1/C + 1/C

➡1/C" = (1 + 2 + 2)/2C

➡1/C" = 5/2C

➡C" = 2C/5

The Capacitance C" form a parrallel combination with C

Thus ,

➡C''' = 2C/5 + C

➡C''' = (2C + 5C/5

➡C''' = 7C/5

Now , the capacitance C''' form a series combination with C

Thus ,

➡1/C'''' = 5/7C + 1/C

➡1/C'''' = (5 + 7)/7C

➡1/C'''' = 12/7C

➡C'''' = 7C/12

Hence , the equivalent capacitance b/w A and B is 7C/12 farad