   Chapter 17, Problem 10CQ

Chapter
Section
Textbook Problem

Power P0 = I0 ΔV0 is delivered to a resistor of resistance R0. If the resistance is doubled (Rnew = 2R0) while the voltage is adjusted such that the current is constant, what are the ratios (a) Pnew/P0 and (b) ΔVnew/ΔV0? If, instead, the resistance is held constant while Pnew = 2P0, what are the ratios (c) ΔVnew/ΔV0, and (d) Inew/I0?

(a)

To determine
The ratio PnewP0 .

Explanation

Given Info: Power P0=I0ΔV0 is delivered to resistor of resistance R0 The resistance is doubled, (Rnew=2R0) while voltage is adjusted and current is kept constant.

Explanation:

Formula to calculate the power delivered to resistor R0 is,

P0=I0ΔV0

• P0 is the power delivered to resistance R0
• I0 is the current passes through resistance R0
• ΔV0 is the voltage across the resistance R0
• R0 is the resistance

Formula to calculate ΔV0 is,

ΔV0=I0R0

Use I0R0 for ΔV0 in above relation to rewrite P0 .

P0=I02R0 (I)

Formula to calculate the power delivered after resistance is doubled

(b)

To determine
The ratio Vnew/V0 .

(c)

To determine
The ratio Inew/I0 .

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