Grade 10 : Science - 12. Magnetic Effects (Set 4) | Concept of Maths

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Grade 10 : Science - 12. Magnetic Effects (Set 4) | Concept of Maths

Grade 10 : Science - 12. Magnetic Effects (Set 4)

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Question No. 1

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Consider a long straight current-carrying wire placed along the x-axis, with current $I_1$ flowing in the positive x-direction. A square loop of side 'a' carrying current $I_2$ is placed in the xy-plane, such that its center is at $(0, y_0, 0)$ and its sides are parallel to the x and y axes.

What is the net magnetic force experienced by the square loop due to the straight wire?

$\frac{\mu_0 I_1 I_2 a}{2\pi y_0}$

$\frac{\mu_0 I_1 I_2 a^2}{2\pi y_0}$

$\frac{\mu_0 I_1 I_2}{2\pi} \ln\left(\frac{y_0 + a/2}{y_0 - a/2}\right)$

Zero

$\frac{\mu_0 I_1 I_2 a}{2\pi} \left( \frac{1}{y_0 - a/2} - \frac{1}{y_0 + a/2} \right)$

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SECTION : Science