Topic: Magnetic Effects of Current
Subtopic: Magnetic Field Due to Circular Current Carrying Wire
Two very thin metallic wires placed along X and Y-axis carry equal currents as shown in figure. AB and CD are lines at 45ยบ with the axes with origin of axes of O. The magnetic fields will be zero on the line :

Segment OB only of line AB
Segment OC only of line CD
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