A circular loop of radius R is kept in a uniform magnetic field pointing perpendicular into the plane of paper. When a current I flows in the loop, the tension produced in the loop is

Question

A circular loop of radius R is kept in a uniform magnetic field pointing perpendicular into the plane of paper. When a current I flows in the loop, the tension produced in the loop is (A) B I R (B) (B text IR /2) (C) 2 B I R (D) Zero

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/70b5bed06925ea0b1ba174bb2a0e8751-.png" /> ⇒ I(d l) B=2 T sin θ I(d l) B=2 T θ I(R(2 θ) B)=2 T θ T =B I R

Q. A circular loop of radius $R$ is kept in a uniform magnetic field pointing perpendicular into the plane of paper. When a current $I$ flows in the loop, the tension produced in the loop is

$B I R$

$\frac{B IR}{2}$

$2 B I R$

Zero

$\Rightarrow I (d l) B = 2 T sin θ$
$I (d l) B = 2 T θ$
$I (R (2 θ) B) = 2 T θ$
$T = B I R$

Q. A circular loop of radius R is kept in a uniform magnetic field pointing perpendicular into the plane of paper. When a current I flows in the loop, the tension produced in the loop is

BIR

2B IR ​

2BIR