The figure shows a circuit section of four air-filled capacitors that is connect

Question

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 section, through capacitor 4. Similarly, the graph above the section shows the electric potential 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 0.60 mu F. What are the capacitances of (a) capacitor 1 and (b) capacitor 2? (a) Number Units (b) Number Units.

Explanation / Answer

From the curve,

V3 = 5 Volt

C3 = 0.60 uF

so Q3 = C3 V3 = 3 uC

1, 2 and 3 are in series, hence charge on all three capacitor will be same.

Q1 = Q2 = 3 uC

V1 = 2 V and V2 = 5 V

(A) C1 = Q1/ V1 = 3uC / 2 V = 1.5 uF ........Ans

(b) C2 = 3uC / 5uC = 0.6 uF .....Ans

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