JEE Main · 2024 · 09 Apr 2024 · Shift 2 · Current Electricity

The effective resistance between

A

and

B

, if resistance of each resistor is

R

, will be

(A) $\frac{2}{3} R$
(B) $\frac{8 R}{3}$ ✓ Correct
(C) $\frac{5 R}{3}$
(D) $\frac{4 R}{3}$

Answer: (B)

Solution

By the symmetry of the network, the two "middle" resistors carry no current and can be removed. Reducing the resulting circuit step by step (series and parallel combinations of the remaining resistors, each of value

R

) collapses the network to two

(\frac{3 R}{2})

-type branches in parallel with a final series arm, giving the effective resistance between A and B as

R_{A B} = \frac{8 R}{3}

JEE Main · 2024 · 09 Apr 2024 · Shift 2 · Single correct option

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