1. Tardigrade
  2. Question
  3. Physics
  4. A steady current I goes through a wire loop PQR having shape of a right angle triangle with PQ =3 x , PR = 4 x and QR =5 x. If the magnitude of the magnetic field at P due to this loop is k ((μ0 I /48 π x )), find the value of k .

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Q. A steady current $I$ goes through a wire loop $PQR$ having shape of a right angle triangle with $PQ =3 x , PR =$ $4 x$ and $QR =5 x$. If the magnitude of the magnetic field at $P$ due to this loop is $k \left(\frac{\mu_{0} I }{48 \pi x }\right)$, find the value of $k .$

JEE AdvancedJEE Advanced 2009

Solution:

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$B =\frac{\mu_{0} I }{4 \pi \frac{12 x }{5}}\left[\cos 53^{\circ}+\cos 37^{\circ}\right]$
$=7\left(\frac{\mu_{\phi} I }{48 \pi x }\right)$
$k =7$