First slide

Magnetic field due to current element

Question

Two similar co-axial coils, separated by some distance, carry the same current I but in opposite directions. The magnitude of the magnetic field B at a point on the axis at the mid point of the line joining the center is

Moderate

A

zero
B

the same that produced by one coil
C

twice that produced by one coil
D

half of that produced by one coil

Solution

The direction of field due to one coil is opposite to the other coil.
Due to symmetry , magnitude of both fields is same.
Hence, ${\vec{B}}_{n e t} = {\vec{B}}_{1} + {\vec{B}}_{2} = B - B = 0$

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