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Q. The self inductance of a coil having 500 turns is $50\, mH$. The magnetic flux through the cross-sectional area of the coil while current through it is $8\, mA$ is found to be

AIIMSAIIMS 2015

Solution:

Given, $n=500$
$L =50 \,mH =50 \times 10^{-3} H $
and $ i =8 \,mA =8 \times 10^{-3} A$
The magnetic flux linked with the coil is
$\phi =L i=50 \times 10^{-3} \times 8 \times 10^{-3} $
$=400 \times 10^{-6}=4 \times 10^{-4} Wb .$