First slide

voltmeter

Question

in the arrangement shown, readings of ideal voltmeters V₁, V₂ and V₃ are 20 volt, 50 volt and 60 volt respectively. then current flowing through the current carrying branch is

Moderate

A

5 A
B

2.5 A
C

1 A
D

0.5 A

Solution

$\begin{array}{l} V_{1} = iP, V_{2} = i (Q + R) and V_{3} = i (P + Q) \\ ∴ iR = V_{1} + V_{2} - V_{3} \Rightarrow i = \frac{V_{1} + V_{2} - V_{3}}{R} = \frac{20 + 50 - 60}{10} Amp \Rightarrow i = 1 A \end{array}$

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