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Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismBiot-savart's & Ampere's Circuital lawHard2 minQB

PhysicsHardsingle choice

A square loop of side $2 a$ and carrying current $I$ is kept in $xz$ plane with its centre at origin. A long wire carrying the same current $I$ is placed parallel to $z$ -axis and passing through point $(0, b, 0), (b > > a)$ . The magnitude of torque on the loop about $z$ -axis will be :

Options:

Answer:

Solution:

Net force acting on wire $AB$ & $CD$ are zero

$τ = F_{1} cosθ \times 2 a = \frac{μ_{0}}{2 π} \frac{i^{2}}{\sqrt{a^{2} + b^{2}}} (2 a) \times \frac{b}{\sqrt{a^{2} + b^{2}}} \times 2 a$

$τ = \frac{2 μ_{0} . i^{2} a^{2} b}{π (a^{2} + b^{2})}$

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

⏱ 2mℹ️ Source: QB

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