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Q.

Two concentric circular coils of 10 turns each are situated in the same plane. Their radii are 20 cm and 40 cm and they carry currents of 0.2 A and 0.3 A respectively in opposite directions. If $μ_{0}$ is the permeability of vacuum then the magnetic field in Wbm^-2 at their common centre is

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a

$\frac{5 μ_{0}}{2}$

b

$\frac{35 μ_{0}}{4}$

c

$\frac{7 μ_{0}}{8}$

d

$\frac{μ_{0}}{8}$

answer is B.

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Detailed Solution

$B = \frac{μ_{0} n}{2} [\frac{i_{1}}{r_{1}} ~ \frac{i_{2}}{r_{2}}]$

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Two concentric circular coils of 10 turns each are situated in the same plane. Their radii are 20 cm and 40 cm and they carry currents of 0.2 A and 0.3 A respectively in opposite directions. If μ0 is the permeability of vacuum then the magnetic field in Wbm-2 at their common centre is