Two identical conducting wires AOB and COD are placed at right angles to each other. The wire AOB carries an electric current I 1 and COD carries a current I 2 . The magnetic field on a point lying at a distance of from O , in a direction perpendicular to the plane of the wires AOB and COD , will be given by

Question

Two identical conducting wires AOB and COD are placed at right angles to each other. The wire AOB carries an electric current I 1 and COD carries a current I 2 . The magnetic field on a point lying at a distance of from O , in a direction perpendicular to the plane of the wires AOB and COD , will be given by, μ 0 2 π I 1 + I 2 d 1 2, μ 0 2 π d I 1 2 + I 2 2 1 2, μ 0 2 π d I 1 + I 2, μ 0 2 π d I 1 2 + I 2 2

MARKS App · Accepted Answer

The magnetic field inductions at a point P 1 at a distance d from O in a direction perpendicular to the plane of the wires due to the plane of the wires due to currents through AOB and COD are perpendicular to each other is Hence, B = B 1 2 + B 2 2 = μ 0 4 π 2 I 1 d 2 + μ 0 4 π 2 I 2 d 2 1 2 = μ 0 2 π d l 1 2 + l 2 2

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