ESouRCES RESOU Chapter Chapter 25, Problem 027 2651 HwKs The figure shows a 14.0

Question

ESouRCES RESOU Chapter Chapter 25, Problem 027 2651 HwKs The figure shows a 14.0 V battery and four uncharged capacitors of capacitances C1 = 1.38 F,C2 = 2.32 F,C3 = 3.26 and C4 = 4.06 F. If only switch S1 is closed, what is the charge on (a) capacitor 1, (b) capacitor 2, (c) capacitor 3, and (d) capacitor 4? If both switches are closed, what is the charge on (e) capacitor 1, (f) capacitor 2, (g) capacitor 3, and (h) capacitor 4? parantetem 132 ufC- 3.26 u, and Ca .nd (d) capacior I boh switches Chapter 5Problem 033 SN Chapter 25, Problem 051 065 (a) Number Review Results by Study()Number (c) Number (d) Number (e) Number Number (9) Number (h) Number Review Scere Units Units Question Attempts: 0 of S used SAVE FOR LATER SURMIT ANSWEN

Explanation / Answer

a)When S1 is closed

1 and 3 and 2 and 4 are in series and their combination is in parallel

C13 = 1.38 x 3.26/(1.38 + 3.26) = 0.97 uF

C24 = 2.32 x 4.06/(2.32 + 4.06) = 1.48 uF

Q(net) = 1.48 x 14 = 34.3 uC

we know that the same charge flows through the capacitors connected in series

The voltage through C13 and C24 = battery voltage = 14

Q1 = Q3 and Q2 = Q4

V13 = V14 = 14

Q13 = C13 x V = 14 x 0.97 = 13.58 uC

Q24 = C24 x V = 1.48 x 14 = 20.72 uC

[A check, 13.58 + 20.72 = 34.3 uC]

(a)Q1 = 13.58 uC

(b)Q2 = 20.72 uC

(c)Q3 = 13.58 uC

(d)Q4 = 20.72 uC

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