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-ABIf the ammeter and voltmeter readings in the two cases be I 1- I 2 and V 1- V 2 respectively he is likely to observe that -1 I 1- I 2 but V 1- V 22 I 1 I 2 but V 1- V 24 I 1- I 2 and V 1- V 2

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Byju's Answer

Standard XII

Physics

Ohm's Law in Scalar Form

A student usi...

Question

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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Solution

As the ammeter holds negligible resistance, hence the voltage drop across the resistance is equal to the voltage of the battery. As the battery used in both cases is the same, that's why voltmeter will measure the same value in both the circuits. i.e. V₁=V₂

In circuit A, both the resistances are connected in series and in circuit B, they are connected in parallel. As the net resistance in circuit A is more than the net resistance in circuit B, and as given the same power supply is used in both the circuits, so the current in circuit A will be less than the current in circuit B.

Hence, the correct answer is option 2.

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Similar questions

Q. 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

Q. In the figure ammeter reads

I_{1}

and voltmeter reads

V_{1}

. Similarly in figure 2, ammeter reads

I_{2}

and voltmeter reads

V_{2}

. Then which of the statements are true?

Two different coils have self-inductance $L_{1}$ = 8mH and $L_{2}$ = 2mH respectively. The current in both the coils is increased at a same rate. At a certain instant of time, the power being supplied to both the coils is equal. At that instant, the current, the induced voltage, and the energy stored in $L_{1}$ and $L_{2}$ are $I_{1}$ and $I_{2}$ , $V_{1}$ and $V_{2}$ , and $W_{1}$ and $W_{2}$ respectively. Then