Question

39. The charge on the 6 uF capacitor in the circuit
shown is

(1) 540 uc
(3) 180 uc
(2) 270 uc
(4) 90 uc
​

Answer 1

Answer:

(3)

Explanation:

C effective to be found....

simplify the circuit=>

Capacitors of  capacitance 12 and 6 microfarad  are in parallel

therefore> 6+12=18 microcoulomb

Capacitors of  capacitance 18 and 9 microfarad are in series

So Effective Capacitance= 1/18+1/9=3/18

taking reciprocal>    18/3=6microfarad

therefore totall charge => q=CV

                                              = 6*90

                                               = 540micro coulomb

PTR:

When in Series Charges remain Same

When in Parallel Voltage remains Same

by working backwards through the circuit.......

Capacitors of  capacitance 18 and 9 microfarad are in series>Charges are equal on both the capacitors. But potential varies. so find V with the Equation V=q/C for 18 microfarad capacitor

V=540uC/18uF=30V

expaning the circuit of 18 microfarad back to 12 and 6 microfarad as in the question....we see they are in parallel

The charge on 6uF capacitor =q=6*30=180uC

similarly for 12uF capacitor=q=12*30=360uC

Answer 2

Answer:

effective to be found....

implify the circuit=>

:apacitors of capacitance 12 and 6 nicrofarad are in parallel herefore> 6+12=18 microcoulomb

Capacitors of capacitance 18 and 9 microfarad are in series

So Effective Capacitance= 1/18+1/9=3/18 taking reciprocal> 18/3=6microfarad therefore totall charge => q=CV

= 6*90

= 540micro coulomb PTR..

When in Series Charges remain Same

When in Parallel Voltage remains Same by working backwards through the circuit.......

Capacitors of capacitance 18 and 9 microfarad are in series>Charges are equal on both the capacitors. But potential varies. so find V with the Equation V=q/C for 18 microfarad capacitor

expaning the circuit of 18 microfarad back to 12 and 6 microfarad as in the question....we see they are in parallel

The charge on 6uF capacitor

similarly for 12uF capacitor=q=12*30=360uC