In the circuit shown, the reading of ammeter and voltmeter will be :- (Voltmeter is ideal, but ammeter has a resistance of $1Ω$ .)

Question

In the circuit shown, the reading of ammeter and voltmeter will be :- (Voltmeter is ideal, but ammeter has a resistance of 1Ω .)

TestHub · Accepted Answer

Question Explanation : We have to calculate voltmeter and ammeter reading in the given circuit diagram.

As voltmeter is ideal it has infinite resistance, So we can remove it

$R_{eq} = 3Ω$

$I = \frac{15}{3} = 5 A$

$I_{1} = \frac{15}{4} A, I_{3} = \frac{5}{6} A$

$I_{2} = \frac{5}{4} A, I_{4} = \frac{5}{12} A$

$V_{A} + 4 I_{3} + 6 I_{2} - 1 I_{1} = V_{B}$

$V_{B} - V_{A} = 4 \times \frac{5}{6} + 6 \times \frac{5}{4} - \frac{15}{4}$

$V_{B} - V_{A} = \frac{20}{6} + \frac{30}{4} - \frac{15}{4} = \frac{40 + 90 - 45}{12} = \frac{85}{12} V$

$V_{B A} = \frac{85}{12} V$ and ammeter reads $I_{4} = \frac{5}{12}$ A

Physics - Current Electricity Question with Solution | TestHub