Question
A large current carrying plate is kept along $y-z$ plane with $k$ $amp$ current per unit length in the $+ve$ $y$ direction. Find the net force on the semi cricular current carrying looplying in the $x-y$ plane. Radius of loop is $R$, current is $i$ and centre is at $(d,0, 0)$ where $(d > R)$

Answer

Magnetic field $B=\frac{\mu_{0} k}{2}$

Force $=i L_{e f f} x B$

$=i \times 2 R \times B=\mu_{0} k R i$

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