For three circuits, shown here

the same two resistors R₁ and R₂ have been connected in parallel in all the circuits but the voltmeter and the ammeter have been connected in three different positions. The relation between the three voltmeter and ammeter readings would be :
(1) V₁ = V₂ = V₃ and I₁ = I₂ = I₃
(2) V₁ ≠ V₂ ≠ V₃ and I₁ = I₂ = I₃
(3) V₁ = V₂ = V₃ and I₁ ≠ I₂ ≠ I₃
(4) V₁ ≠ V₂ ≠ V₃ and I₁ ≠ I₂ ≠ I₃

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Solution

In all the three circuit voltmeter is always connected in parallel with all the resistors, hence it will measure the same voltage each time. So, V₁= V₂ = V₃

In the first circuit, the ammeter is connected in series with resistance R₁, and in the second circuit, the ammeter is connected in series with resistance R₂, and in the third circuit, the ammeter is connected in series with the parallel combination of the resistances. As all the cases are different, each time ammeter will measure different values of current. So, I₁ $\neq$ I₂ $\neq$ I_3.

Hence, the correct answer is option 3.

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Similar questions

Q. A student using the same two resistors, ammeter, voltmeter and battery, sets up two circuits A and B connecting the two resistors first in series and then in parallel.

If the ammeter and voltmeter readings in the two cases be I₁, I₂ and V₁, V₂ respectively he is likely to observe that :
(1) I₁ = I₂ but V₁ ≠ V₂
(2) I₁ < I₂ but V₁ = V₂
(3) I₁ > I₂ but V₁ = V₂
(4) I₁ = I₂ and V₁ = V₂

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Q. In the figure ammeter reads

I_{1}

and voltmeter reads

V_{1}

. Similarly in figure 2, ammeter reads

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and voltmeter reads

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. Then which of the statements are true?

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