Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismBiot-savart's & Ampere's Circuital lawMedium2 minPYQ_2016

PhysicsMediumsingle choice

A current I flows in the anticlockwise direction through a square loop of side a lying in the xoy plane with its center at the origin. The magnetic induction at the center of the square loop is

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Answer:

Solution:

Field due to one side of loop at $O$ $= \frac{μ _{0} I}{4 π ( \frac{a}{2} )} (2 sin 4 5^{\circ})$ Field at $O$ due to all four sides is along unit vector $\overset{e}{^}_{z}$
$∴$ Total field $= 4 \cdot \frac{μ _{0} I}{4 π ( \frac{a}{2} )} (2 sin 4 5^{\circ}) = \frac{2 2 μ _{0} I}{πa}$

Stream:VITEEESubject:PhysicsTopic:MagnetismSubtopic:Biot-savart's & Ampere's Circuital law

⏱ 2mℹ️ Source: PYQ_2016

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