Magnetic Effects & Magnetism

JEE Main level, single correct, medium

240 of 276

Question 240 of 276

Two long conductors, separated by a distance d\mathrm{d} carry current I1\mathrm{I}_1 and I2\mathrm{I}_2 in the same direction. They exert a force FF on each other. Now the current in one of them increased to two times and its direction reversed. The distance is also increased to 3 d3 \mathrm{~d}. The new value of the force between them is

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Answer: (C) −2F/3-2 F / 3

Force between two long conductor carrying current
F=μ02πl1l2dℓF=\frac{\mu_0}{2 \pi} \frac{l_1 l_2}{d} \ell
According to question

F′=μ02π(−2I1)(I2)dℓF^{\prime}=\frac{\mu_0}{2 \pi} \frac{\left(-2 I_1\right)\left(I_2\right)}{d} \ell
From equation (i) and (ii),
F′=−32 F\mathrm{F}^{\prime}=-\frac{3}{2} \mathrm{~F}.

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