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Voltmeter

Three voltmet...

Question

Three voltmeters A, B and C having resistances R, 1.5R and 3R, respectively are used in a circuit as shown when a potential difference is applied between X and Y, the reading of the voltmeters are $V_{1}, V_{2}$ and $V_{3}$ respectively then:

$V_{1} = V_{2} = V_{3}$

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$V_{1} < V_{2} = V_{3}$

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$V_{1} > V_{2} > V_{3}$

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$V_{1} = V_{2} < V_{3}$

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Solution

The correct option is A
$V_{1} = V_{2} = V_{3}$

$I_{B} = I \frac{3 R}{3 R + 1.5 R} = \frac{2 I}{3} I_{C} = I - \frac{2 I}{3} = \frac{1}{3} V_{B} = 1.5 R \frac{2 I}{3} = I R V_{C} = 3 R \frac{I}{3} = I R V_{A} = I R V_{A} = V_{B} = V_{C}$

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Three voltmeters A, B and C having resistances R, 1.5R and 3R, respectively are used in a circuit as shown when a potential difference is applied between X and Y, the reading of the voltmeters are V1,V2 and V3 respectively then:

The correct option is A V1=V2=V3 IB=I3R3R+1.5R=2I3IC=I−2I3=13VB=1.5R2I3=IRVC=3RI3=IRVA=IRVA=VB=VC

Three voltmeters A, B and C having resistances R, 1.5R and 3R, respectively are used in a circuit as shown when a potential difference is applied between X and Y, the reading of the voltmeters are $V_{1}, V_{2}$ and $V_{3}$ respectively then:

The correct option is A
$V_{1} = V_{2} = V_{3}$

$I_{B} = I \frac{3 R}{3 R + 1.5 R} = \frac{2 I}{3} I_{C} = I - \frac{2 I}{3} = \frac{1}{3} V_{B} = 1.5 R \frac{2 I}{3} = I R V_{C} = 3 R \frac{I}{3} = I R V_{A} = I R V_{A} = V_{B} = V_{C}$