4.4 Select and use the appropriate equations to determine the total capacitance

Question

4.4 Select and use the appropriate equations to determine the total capacitance of series and parallel connected capacitors, given voltage (V) and charge (Q) across the individual capacitors The table below shows the individual charges (0) and potential difference (V) across un-?? capacitors connected in a series/ parallel combination in a circuit. apacitorCharge Potential difference 0.016C 16 V CI C2 C3 C4 0.01 C 14 C 0.36 C 1.0 v 14 V 11 V a. Determine the total capacitance of the capacitors in the circuit if Ci and C2 are connected in series, while C3 and C4 are connected in parallel.

Explanation / Answer

Capacitance of the capacitor is given by

C=Q/V

Therefore

C1 =0.016/16 =1*10-3 F

C2 =0.01/1 =0.01 F

C3 = 14/14 =1 F

C4 = 0.36/11 =0.032727 F

Given C1 and C2 are in series

1/CA =1/0.001 +1/0.01

CA=9.09*10-4 F

C3 and C4 are in parallel

CB =1+0.032727 =1.032727 F

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If CA and CB are connected in series

1/C =1/1.032727 +1/(9.09*10-4)

C=9.083*10-4 F

IF CA and CB are connected in parallel

C=9.09*10-4+1.032727

C=1.033636 F

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