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Magnetic Effect of Current — Physics STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 SciencePhysicsMagnetic Effect of Current1 Mark
MCQ
Two straight long conductors AOB and COD are perpendicular to each other and carry currents $i_1$ and $i_2$. The magnitude of the magnetic induction at a point P at a distance a from the point O in a direction perpendicular to the plane ACBD is
  • A
    $\frac{\mu_0}{2 \pi \mathrm{I}}\left(\mathrm{i}_1+\mathrm{i}_2\right)$
  • B
    $\frac{\mu_0}{2 \pi \mathrm{I}}\left(\mathrm{i}_1-\mathrm{i}_2\right)$
  • ✓
    $\frac{\mu_0}{2 \pi \mathrm{I}}\left({i_1}^2+\mathrm{i_2}^2\right)^{1 / 2}$
  • D
    $\frac{\mu_0}{2 \pi I} \frac{i_1 i_2}{\left(i_1+i_2\right)}$
✓

Answer

Correct option: C.
$\frac{\mu_0}{2 \pi \mathrm{I}}\left({i_1}^2+\mathrm{i_2}^2\right)^{1 / 2}$
(c) $\frac{\mu_0}{2 \pi \mathrm{I}}\left({i_1}^2+\mathrm{i_2}^2\right)^{1 / 2}$

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