First slide

Magnetic field due to a straight current carrying wire

Question

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

Moderate

A

AB
B

CD
C

Segment OB only of line AB
D

Segment OC only of line CD

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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