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  4. An arc of a circular loop of radius R is kept in the horizontal plane and a constant magnetic field B is applied in the vertical direction as shown in the figure. If the arc carries current I then find the force on the arc. <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-v4w8iiaov54v.png />

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Q. An arc of a circular loop of radius $R$ is kept in the horizontal plane and a constant magnetic field $B$ is applied in the vertical direction as shown in the figure. If the arc carries current $I$ then find the force on the arc.

Question

NTA AbhyasNTA Abhyas 2020Moving Charges and Magnetism

Solution:

If this loop is close net force on it will be zero
so F + Fstraight = 0
$⇒ \, \, \, \text{F} = - \text{F}_{\text{straight}}$
$\text{F} = \text{I} \sqrt{2} \text{RB}$
$\text{F} = \sqrt{2} IRB$
Solution