Which of the following combinations have the same equivalent resistance between X and Y?
Current Electricity
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Question

Which of the following combinations have the same equivalent resistance between X and Y?

KnowledgeBoat · Accepted Answer

(a) and (d) have the same equivalent resistance between X and Y. Reason (a) In the circuit, two resistors of 2 Ω each are connected in parallel. In parallel, the equivalent resistance is R_P, then Hence, R_P = 1 Ω (b) In the circuit, three resistors of 1 Ω, 1 Ω and 2 Ω are connected in parallel. In parallel, the equivalent resistance is R_P, then Hence, R_P = 0.4 Ω (c) In the circuit two resistors of 1 Ω each are connected in parallel. In parallel, the equivalent resistance is R_P, then Hence, R_P = 0.5 Ω (d) In the circuit there are three parts. In the first part two resistor of 1 Ω each are connected in series. In series, the equivalent resistance is R'_S, then R'_S = (1 + 1) Ω = 2 Ω In the second part two resistor of 1 Ω each are connected in series. In series, the equivalent resistance is R''_S, then R''_S = (1 + 1) Ω = 2 Ω In the third part,R'_S and R''_S are in parallel, the equivalent resistance is R_P, then Hence, R_P = 1 Ω Therefore, on observing the values we can say that (a) and (d) have same equivalent resistances i.e., 1 Ω.

Physics

Which of the following combinations have the same equivalent resistance between X and Y?

Current Electricity

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Which of the following combinations have the same equivalent resistance between X and Y?

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