A, B and C are three parallel conductors of equal lengths and carry… | MHT CET 2023 (12 May, Shift 1)

Q33MHT CET 2023 · 12 MAY · SHIFT 1Medium

Force on Current-Carrying Conductors

$A, B$ and $C$ are three parallel conductors of equal lengths and carry currents I, I and 2I respectively as shown in figure. Distance $AB$ and $BC$ is same as ' $d$ '. If ' $F_1$ ' is the force exerted by $B$ on $A$ and $F_2$ is the force exerted by $C$ on $A$ , then

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Answer: (b)

$F_1$ (B on A): same direction currents, attraction towards B; magnitude $\frac{\mu_0 I\cdot I}{2\pi d}$ per unit length.
$F_2$ (C on A): opposite currents, repulsion away from C; magnitude $\frac{\mu_0 I\cdot2I}{2\pi(2d)} = \frac{\mu_0 I^2}{2\pi d}$ .
Equal magnitudes, opposite directions: $F_1 = -F_2$
So the answer is (b).

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Force on Current-Carrying Conductors question from MHT CET 2023 (12 May, Shift 1)

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