JEE Main 2022 · 27 Jun · Shift 2 · Physics Q57

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PhysicsInteger+4 / -1Question 57 of 90

In the given circuit 'a' is an arbitrary constant. The value of $m$ for which the equivalent circuit resistance is minimum, will be $\sqrt{\dfrac x2}$ . The value of $x$ is ______.

A battery V in series with two groups: three resistors of value ma in parallel, followed by two resistors of value a/m in parallel.

Your answer

Answer and worked solution

Official answer: 3

Resistance. $R=\dfrac{ma}3+\dfrac a{2m}$ , least when the terms are equal: $m^2=\frac32$ , so $m=\sqrt{\frac32}$ and $x=3$ .

Answer: 3

Topics:Series and parallel resistors

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JEE Main 2022 · 27 Jun · Shift 2, Physics question 57