Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismBiot-savart's & Ampere's Circuital lawEasy2 minPYQ_2020

PhysicsEasysingle choice

A wire is bent in the form of a circular arc of radius $r$ with a straight portion $A B$ . If the current in the wire is $i$ , then the magnetic induction at point $O$ is

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Answer:

Solution:

$B = B_{1} + B_{2}$

$= \frac{μ_{0} i}{4 π r} (2 π - 2 ϕ) + \frac{μ_{0} i}{4 π d} (2 \sin ϕ)$

Where $\cos ϕ = \frac{d}{r}$

$d = r \cos ϕ$

$\begin{array}{l} B = \frac{μ_{0} i}{4 π r} [2 π - 2 ϕ + 2 \tan ϕ] \\ B = \frac{μ_{0} i}{2 π r} [π - ϕ + \tan ϕ] \end{array}$

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

⏱ 2mℹ️ Source: PYQ_2020

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