Three resistances P, Q, R each of $$2$$ Ω and an unknown resistance S form the four arms of a Wheatstone's bridge circuit. When a resistance of $$6$$ Ω is connected in parallel to s the bridge gets balanced. what is the value of S?

Question

Three resistances P, Q, R each of $$2$$  Ω and an unknown resistance S form the four arms of a Wheatstone's bridge circuit. When a resistance of $$6$$  Ω is connected in parallel to s the bridge gets balanced. what is the value of S?

Infinity Learn · Accepted Answer

The bridge formed with given resistances is a balanced Wheatstone's bridgeThe situation can be depicted as shown in the figure.As resistances S and $$6$$  Ω are in parallel, their effective resistance is $$6S6+S$$ Ω.For balancing condition, PQ $$=$$ $$R6S6+Sor$$  $$22=26+S6S$$ or    $$3S=6+S$$  ⇒  $$S=3$$  Ω

Three resistances P, Q, R each of $2 Ω$ and an unknown resistance S form the four arms of a Wheatstone's bridge circuit. When a resistance of $6 Ω$ is connected in parallel to s the bridge gets balanced. what is the value of S?

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Three resistances P, Q, R each of 2 Ω and an unknown resistance S form the four arms of a Wheatstone's bridge circuit. When a resistance of 6 Ω is connected in parallel to s the bridge gets balanced. what is the value of S?

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Ready to Test Your Skills?

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Three resistances P, Q, R each of $2 Ω$ and an unknown resistance S form the four arms of a Wheatstone's bridge circuit. When a resistance of $6 Ω$ is connected in parallel to s the bridge gets balanced. what is the value of S?