JEE PYQ: Current Electricity Question 16
Question 16 - 2021 (26 Feb 2021 Shift 1)
Five equal resistances are connected in a network as shown in figure. The net resistance between the points $A$ and $B$ is:
(1) $\frac{3R}{2}$
(2) $\frac{R}{2}$
(3) $R$
(4) $2R$
Show Answer
Answer: (3)
Solution
It is a balanced Wheatstone bridge ($R_1 R_4 = R_2 R_3$). The fifth resistor between the balanced nodes carries no current. The equivalent is two pairs in series, then in parallel: $R_{\text{eq}} = \frac{2R \times 2R}{2R + 2R} = R$.
BETA
