Two concentric coils of 10 turns each are placed in the same plane. Their radii are 20 cm and 40 cm and carry 0 . 2 A and 0 . 3 A current respectively in opposite directions. The magnetic induction (i

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Two concentric coils of 10 turns each are placed in the same plane. Their radii are 20 cm and 40 cm and carry 0 . 2 A and 0 . 3 A current respectively in opposite directions. The magnetic induction (in tesla ) at the center is

TestHub · Accepted Answer

Two coils carry currents in opposite directions, hence net magnetic field at centre will be difference of the two fields.

$i e, B_{n e t} = \frac{μ_{0}}{4 π} . 2 π N [\frac{i_{1}}{r_{1}} - \frac{i_{2}}{r_{2}}]$

$= \frac{10 μ_{0}}{2} [\frac{0.2}{0.2} - \frac{0.3}{0.4}]$

$= \frac{5}{4} μ_{0}$

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