Question

In the below figure V=12 V, C1=C4=2.0 uF, C2=4.0 uF annd C3= 1.0 uF. What is the
charge on capacitor 4.​

Answer 1

Answer:

The pair C

1

and C

2

are in parallel, as are the pair C

3

and C

4

; they reduce to equivalent values 6.0 μF and 3.0 μF, respectively. These are now in series and reduce to 2.0μF ,across which we have the battery voltage. Consequently, the charge on the 2.0μF equivalence is (2.0μF)(12V) = 24μC . This charge on the 3.0 μF equivalence (of C

3

and C

4

) has a voltage of :

V=

C

q

=

3µF

24µC

=8.0V

Finally, this voltage on capacitor C

4

produces a charge (2.0μF)(8.0V) = 16μC .