In the circuit shown below C1 = 10 F, C2 = C3 = 20 F, and C4 = - Physics - Electric Charges And Fields

Question

In the circuit shown below C1 = 10 µF,
C2 = C3 = 20 µF, and C4 = 40
µF If charge on C1 is 20 µC then potential
difference between X and Y is

(1) 2 V (2) 3 V (3) 6 V (4) 3 5 V

Vipra Mishra · Accepted Answer

Dear student,

here c1 and c2 are in parallel

and c3 and c4 are also in parallel

and (c1,c2) and (c3,c4) are in series

let q1 , q2, q3, q4 are charges on c1,c2,c3,c4

q1/q2 = c1/c2

20/q2 = 10/20

q2 = 40 uC

total charge on positive plate of c1 and c2 = 20+40 = 60
uC

pot difference across q2 = 40/20 = 2V

resultant of c3,c4 = 20+40= 60uF

Q = 60uC

pot difference across q3 = 60/60 = 1V

pot difference between X and Y= 2V+1V = 3V

Regards

In the circuit shown below C1 = 10 µF, C2 = C3 = 20 µF, and C4 = 40 µF. If charge on C1 is 20 µC then potential difference between X and Y is (1) 2 V (2) 3 V (3) 6 V (4) 3.5 V