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JEE Main 2021 (26 Feb, Shift 1) · Combination of Resistors

Combination of Resistors question from JEE Main 2021 (26 Feb, Shift 1)

Q56JEE Main 2021 · 26 FEB · SHIFT 1Medium

Combination of Resistors

Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and B is:

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Answer: (d)

A is the centre (joined to D and E by R) and B is the corner C. Paths A–D–C and A–E–C are each $2R$ .
By symmetry D and E are at the same potential, so the resistor DE carries no current.
$R_{AB} = 2R \parallel 2R = R$ . So the answer is (d) R.

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