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The value of resistance of an unknown re...

The value of resistance of an unknown resistor is calculated using the formula `R = V//I ` where V and I are the readings of the voltmeter and the ammeter, respectivley. Consider the circuits below. The internal resistances of the voltmeter and the ammeter `(R_V and R_G, respectively)` are finite and nonzero.
,
Let `R_(A) and R_(B)` be the calculated values in the two cases A and B , respectively.
If the resistance of voltmeter is `R_(V) = 1k Omega` and the percentage error in the measurement of R (the value of R is nearly `10 Omega`)is

A

zero in both cases

B

non zero but equal in both cases

C

more in circuit A

D

more in circuit B

Text Solution

Verified by Experts

% error in case A=`(R_A-R)/R times 100%=(R_v/(R+R_v)-1) times 100% = (-R)/(R+R_v) times 100% approx -1%`
% error in case B =`(R_0-R)/R times 100%=R_g/R times 100% approx 10%`
Hence percentage error in circuit B is more than that in A.
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