Magnetic Effects & Magnetism

JEE Main level, single correct, medium

11 of 276

Question 11 of 276

A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10A.10A. The magnetic field at point OO will be close to:

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Answer: (D) 1.0×10−5T1.0\times {10}^{-5}T



Magnetic field due to
PQPQ and RSRS are zero at ' OO '.

Magnetic field due to
QRQR

BQR=μ04π103×10−2π4{B}_{QR}=\dfrac{{\mu }_{0}}{4\pi }\dfrac{10}{3\times {10}^{-2}}\dfrac{\pi }{4} (outwards)

Magnetic field due to
SPSP

BSP=μ04π105×10−2π4{B}_{SP}=\dfrac{{\mu }_{0}}{4\pi }\dfrac{10}{5\times {10}^{-2}}\dfrac{\pi }{4} (inwards)

Net field
B=μo4π10π4×10−2(13−15)B=\dfrac{{\mu }_{o}}{4\pi }\dfrac{10\pi }{4\times {10}^{-2}}\left(\dfrac{1}{3}-\dfrac{1}{5}\right)

=1.0×10−5T=1.0\times {10}^{-5}T

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