Chapter 25, Problem 018 The figure shows a circuit section of four air-filled ca

Question

Chapter 25, Problem 018 The figure shows a circuit section of four air-filled capacitors that is connected to a larger circuit. The graph below the section shows the electric potential V(x) as a function of position x along the lower part of the sectlon, through capacitor 4. Similarly, the graph above the section shows the electric potentlal V(x) as a function of position x along the upper part of the section, through capacitors 1, 2, and 3, Capacitor 3 has a capacitance of 0.76 F, what are the capacitances of (a) capacitor 1 and (b) capacitor 2? 2 V 12

Explanation / Answer

a)
charge on Q3 = V3*C3

Q3 = (12 - 2 - 5)*0.76

Q3 = 3.8 uC

charge on C1 = charge on C2 = charge on V3 (beacuse they are connected in series)

C1 = Q1/V1

C1 = (3.8 x 10^-6)/2

C1 = 1.9 uF

b)

C2 = Q2/V2

C2 = (3.8 x 10^-6)/5

C2 = 0.76 uF

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