Three resistors `R_(1) = 3 k Omega,R_(2) = 2 k Omega and R_(3) = 5 k Omega` have been connected to a constant current source as shown in figure. The current source supplies current `I = 2 mA` to the circuit. A voltmeter with `R_(V) = 6 kOmega` internal resistance is connected, as shown, to measure the potential difference across `R_(1)`.
(a) Find the percentage error in the measurement of potential difference `(V_1)` across. `R_(1)` caused due to finite resistance of the voltmeter.
(b) If positions of `R_(2) and R_(3)` are interchanged will the percentage error in measurement of `V_(1)` increase or decrease ?

Answer

(a) 25.9 % and (b) No change