Question Details

Three voltmeters are connected in a circuit as shown in diagram. Find correct relation among their readings (V1, V2and V3).

Options

A

V1 > V2 = V3

B

V1 + V2 = V3

C

V1 = V2 + V3

D

V1 + V3 = V2

Correct Answer :

V1 + V2 = V3

Solution :

The correct option is V1 + V2 = V3.

To find the correct relation among the readings of the three voltmeters, we analyze their connection in the electrical circuit:
1. Voltmeters V1 and V2 are connected in series with each other.
2. This series combination of V1 and V2 is connected in parallel with the third voltmeter V3.

For components connected in series, the total potential difference is the sum of the individual potential differences across each component. Thus, the total potential difference across the series combination of the first two voltmeters is:

Vseries=V1+V2

For branches connected in parallel, the potential difference across each branch is equal. Since the series combination of V1 and V2 is connected in parallel across the voltmeter V3, their potential differences must be equal:

Vseries=V3

Equating the two expressions, we obtain the required relation:

V1+V2=V3

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