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

Q: 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

c (c) At $P$ : ${B_{net}} = \sqrt {B_1^2 + B_2^2} $ $ = \sqrt {{{\left( {\frac{{{\mu _0}}}{{4\pi }}\frac{{2{i_1}}}{a}} \right)}^2} + {{\left( {\frac{{{\mu _0}}}{{4\pi }}\frac{{2{i_2}}}{a}} \right)}^2}} $ $ = \frac{{{\mu _0}}}{{2\pi a}}{(i_1^2 + i_2^2)^{1/2}}$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

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$\frac{{{\mu _0}}}{{2\pi a}}({i_1} + {i_2})$
B$\frac{{{\mu _0}}}{{2\pi a}}({i_1} - {i_2})$
C$ \frac{{{\mu _0}}}{{2\pi a}}{(i_1^2 +i_2^2)^{1/2}} $
D$ \frac{{{\mu _0}}}{{2\pi a}}\frac{{{i_1}{I_2}}}{{({i_1} + {I_2})}} $

Medium

STD 11 Science
NEET
STD 12 - 4. Moving charges and magnetism
Physics

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