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Resistance value of an unknown resistor ...

Resistance value of an unknown resistor is calculated using the formula `R=V/I` where V and I be the readings of the voltmeter and the ammeter respectively. Consider the circuits below. The internal resistances of the voltmeter and the ammeter (`R_v and R_B`respectively ) are finite and non zero.

Let `R_A and R_B` be the calculated values in the two cases A and B respectively.
The relation between `R_A` and the actual value R is

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