A 23.0-F capacitor and a 42.0-F capacitor are charged by being connected across

Question

A 23.0-F capacitor and a 42.0-F capacitor are charged by being connected across separate 35.0-V batteries.

(a) Determine the resulting charge on each capacitor. (Give your answer to at least three significant figures.)

23.0-F capacitor _____ mC

42.0-F capacitor ______ mC

(b) The capacitors are then disconnected from their batteries and connected to each other, with each negative plate connected to the other positive plate. What is the final charge of each capacitor?

23.0-F capacitor _____ C

42.0-F capacitor ______ C

(c) What is the final potential difference across the 42.0-F capacitor?

Explanation / Answer

C1 =23 uF, C2 = 42 uF, V =35 V

(a) Q = VC

Q1 = 35*23 = 0.805 mC

Q2 = 35*42 = 1.47 mC

(b) C1 and C2 are in sereis

C = (23*42) /(23+42) = 14.86 uF

Q = 35*14.86 = 520 uC

In seris combination charge is constant

23.0-F capacitor __520___ C

42.0-F capacitor ___520___ C

(c) V2 = Q/C2 = 520/ 42

V2 = 12.38 V

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