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A very long current carrying wire is placed along z-axis having current of magnitude i₁ towards negative z-axis. A semicircular wire of radius R and having current i₂ is placed in x-y plane, such that line joining two end points of the semicircular wire passes through long wire as shown in fig. Nearest distance of semicircular wire from long wire is R. The net magnetic force on semicircular wire will be

Option: 1
$\mathrm{\frac{\mu_0 i_1 i_2}{2 \pi} \ln 3}$

Option: 2
$\mathrm{\frac{\mu_0 \mathrm{i}_1 \mathrm{i}_2}{2 \pi} \ln \frac{3}{2}}$

Option: 3
$\frac{\mu_0 \mathrm{i}_1 \mathrm{i}_2}{2 \pi}$

Option: 4
ZERO

Answers (1)

best_answer

$\mathrm{\frac{d F}{d r}=\frac{\mu_0 l_1 2}{2 \pi r}}$ Inteprator r from R to 3 R.

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mansi

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