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Ashika
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Asked: 2024-08-06T20:27:07+05:30 In:

Resistances of the ratio arms of a Wheatstone bridge are 300 Ω and 30Ω. The fourth arm is connected to an unknown resistor. Find the value of the unknown resistance if the third arm has a resistance of 250Ω in a balanced condition?

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Resistances of the ratio arms of a Wheatstone bridge are 300 Ω and 30Ω. The fourth arm is connected to an unknown resistor. Find the value of the unknown resistance if the third arm has a resistance of 250Ω in a balanced condition?
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  1. Ashika
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    First arm resistance P=300Ω

    Second arm resistance Q=30Ω

    Third arm resistance R=250Ω

    Let the unknown resistance be X, the ratio of resistances in the balanced condition will be, R/X=P/Q

    X=(Q/P)

    Substituting the values,

    X= (30/300)250Ω

    X= 25Ω

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