4 capacitors are arranged in the circuit shown in the figure. The capacitors hav

Question

4 capacitors are arranged in the circuit shown in the figure. The capacitors have the values C1 = 30.5 ?F,C2 = 15.5 ?F, C3 = 45.5 ?F, C4 = 85.5 ?F, and the power supply is set at voltage V = 33.5 V.

A. What is the equivalent capacitance of the circuit?

B. What is the charge on capicitor C3?

C. What is the potential difference across capacitor C4?

D. What is the potential energy stored in capacitor C2?

Four capacitors are arranged in the circuit shown in the figure. The capacitors have the values C1-30.5 F, C2 = 15.5 F, C3-455 F C4-85.5 and the power supply is set at voltage V-33.5 V C. C. What is the equivalent capacitance of the circuit? Number C. What is the charge on capacitor C3? Number What is the potential difference across capacitor C4? Number What is the potential energy stored in capacitor C2? Number

Explanation / Answer

equivalent capacitance of 3 series capacitors(C');

1/C'= 1/C2 + 1/C3 + 1/C4 ; C'= 10.184

Total equivalent capacitance(C)= C' + C1=40.684 uF

B.charge(Q')= C'V =10.184*33.5 =3.4 x 10-4 C

C.Apply Q=CV

Q'=C4*V4

V4= 3.99 V

D. Energy= Q'2/2C = 3.751 x 10-3 J

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