   Chapter 16, Problem 5CQ

Chapter
Section
Textbook Problem

A parallel-plate capacitor with capacitance C0 stores charge of magnitude Q0 on plates of area A0 separated by distance d0. The potential difference across the plates is ΔV0. If the capacitor is attached to a battery and the charge is doubled to 2Q0, what are the ratios (a) Cnew/C0 and (b) ΔVnew/ΔV0? A second capacitor is identical to the first capacitor except the plate area is doubled to 2A0. If given a charge of Q0, what are the ratios (c) Cnew/C0 and (d) ΔVnew/ΔV0? A third capacitor is identical to the first capacitor, except the distance between the plates is doubled to 2d0. If the third capacitor is then given a charge of Q0, what are the ratios (e) Cnew/C0 and (f) ΔVnew/ΔV0?

(a)

To determine
The ratio CnewC0 .

Explanation

The capacitance depends on the area and the distance of separation of the plates. It is independent on the charge. Therefore, the capacitance remains the same...

(b)

To determine
The ratio ΔVnewΔV0 .

(c)

To determine
The ratio CnewC0 .

(d)

To determine
The ratio ΔVnewΔV0 .

(e)

To determine
The ratio CnewC0 .

(f)

To determine
The ratio ΔVnewΔV0 .

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