If the readings of the ammeter and voltmeter | vedclass

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(C) The ammeter measures the total current $I = 2 \, A$ flowing through the circuit.The voltmeter is connected in parallel with the $75 \, \Omega$ res

Vedclass · Accepted Answer

$300$

Vedclass · Answer

(C) The ammeter measures the total current $I = 2 \, A$ flowing through the circuit.The voltmeter is connected in parallel with the $75 \, \Omega$ resistor,and it measures the voltage $V = 120 \, V$ across the parallel combination of the resistor $(R = 75 \, \Omega)$ and the voltmeter resistance $(R_V)$.The equivalent resistance $R_{XY}$ of the parallel combination is given by:$R_{XY} = \frac{R \cdot R_V}{R + R_V} = \frac{75 R_V}{75 + R_V}$According to Ohm's law,the voltage across the parallel combination is $V = I \cdot R_{XY}$.Substituting the given values:$120 = 2 \cdot \left( \frac{75 R_V}{75 + R_V} \right)$$60 = \frac{75 R_V}{75 + R_V}$$60(75 + R_V) = 75 R_V$$4500 + 60 R_V = 75 R_V$$15 R_V = 4500$$R_V = \frac{4500}{15} = 300 \, \Omega$Thus,the resistance of the voltmeter is $300 \, \Omega$.

If the readings of the ammeter and voltmeter are $2 \, A$ and $120 \, V$ respectively,what is the resistance of the voltmeter in $\Omega$?

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