Figure #3 included on “Chapter 25 figures” page shows a circuit containing a bat

Question

Figure #3 included on “Chapter 25 figures” page shows a circuit containing a battery and three parallel-plate capacitors with identical plate separation. The capacitors are air-filled. The capacitors lie along the x-axis, and a graph of the electric potential V along the axis is shown. (a) Which point at the battery, A or B, is at lower electric potential? (b) Is the plate at the right of capacitor 3 positively or negatively charged?   Rank the capacitors, greatest first for the following quantities: (c) the charge on them, (d) their capacitance, (e) their plate area, and (f) the magnitude of the electric field between their plates. (g) What is the direction of that electric field on the x-axis?

Explanation / Answer

(a)

The potential in each case is higher towards B. So, the B is at higher potential.

(b)

positive charges as the right side plate is at higher potential.

(c)

chareg is constnat in series Q1=Q23=Q3

(d)

C is inversely proportional to V, charge is constant in series

therefore, C3<C2<C1

(e)

A3<A2<A1, C is proportioanl to A

(f)

E=e0/Ad, E3>E2>E1, d is constant

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