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Q.

Two very thin insulated metallic wires placed along X and Y-axis carry equal currents as shown in figure. AB and CD are lines at 450 with the axes with origin of axes at O. The magnetic fields will be zero on the line

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a

AB

b

CD

c

Segment OB only of line AB

d

Segment OC only of line CD

answer is A.

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Detailed Solution

All points on AB are equidistant from the two wires. So, magnetic fields are equal and opposite. Thus, they cancel out.
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Two very thin insulated metallic wires placed along X and Y-axis carry equal currents as shown in figure. AB and CD are lines at 450 with the axes with origin of axes at O. The magnetic fields will be zero on the line