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Byju's Answer

Standard XII

Physics

Kirchoff's Voltage Law

In the circui...

Question

In the circuits shown below, the readings of voltmeters and the ammeters will be

V_{2} > V_{1}

and

i_{1} = i_{2}

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V_{1} = V_{2}

and

i_{1} > i_{2}

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V_{1} = V_{2}

and

i_{1} = i_{2}

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V_{2} > V_{1}

and

i_{1} > i_{2}

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Solution

The correct option is C $V_{1} = V_{2}$ and $i_{1} = i_{2}$
We know that ideal voltmeter has infinite resistance and ideal ammeter has zero resistance.

In circuit 1:
Let the resistance of voltmeter $V_{1}$ is $R_{V_{1}} = \infty$

Similarly, In circuit 2:
Let the resistance of voltmeter $V_{2}$ is $R_{V_{2}} = \infty Ω$
Total reistance = $10 + R_{V_{2}} = 10 + \infty = \infty Ω$

Now, we replace the resistance $(10 Ω)$ and Voltmeter $(V_{2})$ with only voltmeter $(V_{2})$ . We find that both the circuit 1 and circuit 2 are equivalent that means the reading of voltmeter $(V_{1} = V_{2})$ and ammeter $(A_{1} = A_{2})$ .

Hence, option C is correct.

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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. 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

Q. In the figure ammeter reads

I_{1}

and voltmeter reads

V_{1}

. Similarly in figure 2, ammeter reads

I_{2}

and voltmeter reads

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Q. For verification of Ohm's law, the data obtained are given below :

V (in volt)	0.2	0.4	0.6	0.8	1.0	1.2
I (in ampere)	0.5	1.0	1.5	2.0	2.5	3.0

Plot graph for V against I.

Use graph to find

I_{1}

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I_{2} a t V_{2} = 1.1

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Then find the slope

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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

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