For circuit (a) in figure 3, prove that the true resistance R is given by: R= R'(1+ R'/Ry) Where R’ = V/I is the measured resistance as given by the voltmeter and current readings and RV is the actual...

1. For circuit (a) in figure 3, prove that the true resistanceR is given by:

R= R'(1+ R'/R_y)

WhereR’ =V/I is the measured resistance as given by the voltmeter and current readings andR_V
 is the actual resistance of the voltmeter. (Note thatR’/R_V
 is essentially the error of your measurements) Is the true resistance larger or smaller than the apparent resistance?

Hint: use the binomial theorem:

___1_______  = 1 + __R'___

 1 -(R'/ R_y)               R_y

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