A simple circuit consists of a resistor connected to a battery. The battery has

Question

A simple circuit consists of a resistor connected to a battery. The battery has emf . internal resistance r. and terminal voltage Vab, and the resistor has resistance R. Rank the following circuits in order of the net power output of the battery, from highest to lowest values. = 1.40 V r = 0.100 Ohm Vab = unknown R = 2.00 Ohm = 1.40 V r = 0.200 Ohm Vab = unknown R = 1.90 Ohm = 1.40 V r = 0.100 Ohm Vab = 1.20 V R = unknown = unknown r = 0.100 Ohm Vab = 1.40 V R = 2.00 Ohm = 1.40 V r = unknown Vab = 1.20 V R = 2.00 Ohm

Explanation / Answer

1) P = emf^2/(r +r) = 1.4^2/(2.1)=0.933

2) P = 1.4^2/ (1.9 +.2) = 0.933

3) Vab = emf - I r
I = (1.4-1.2)/0.1 = .2/0.1 = 2 A

P = I emf = 1.4*2 = 2.8

4) Vab = I R
I = 1.4/2 = .7
P = I^2 (R + r) = .7^2*(2.1)=1.029

5) Vab = IR
I = Vab/R = .6 A
P = I emf = .6*1.4=0.84

so 3>4>1=2>5

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