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Byju's Answer

Standard X

Physics

Equivalent Resistance of a System of Resistor

The resistors...

Question

The resistors R₁, R₂, R₃ and R₄ in the figure given below are all equal in value.

What would you expect the voltmeter A, B and C to read assuming that the connecting wires in the circuit have negligible resistance?

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Solution

The p.d across all the resistors R₁, R₂, R₃ and R₄ is 12 V.
Since all the resistors are of the same value, the p.d at exactly half of the combination, i.e. the voltage shown by the voltmeter C will be 6 V. Similarly, the p.d. shown by the voltmeters A and B is one-fourth the p.d. across all the resistors. Therefore, A and B will have a reading of 3 V.

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