The wire of length l is bent into a circular loop of a single turn and is suspended in a magnetic field of induction B. When a current I is passed through the loop, the maximum torque experienced by it is

Question

The wire of length l is bent into a circular loop of a single turn and is suspended in a magnetic field of induction B. When a current I is passed through the loop, the maximum torque experienced by it is (A)  binom(1/4π) BIl2 (B) (1/4π)BI2l (C)  binom(1/4π) BIl (D)  binom(1/4π) B2Il

Tardigrade Admin · Accepted Answer

When the wire of length l is bent into circular loop of radius R I=2 π r ⇒ r=(l/2 π) When current I is passed through the loop, the torque acting on the loop. τ =n mid A B τ =I × B × π r2 =I B π((l/2 π))2=I B (l2/4 π)=((1/4 π)) B I l2

Q. The wire of length $l$ is bent into a circular loop of a single turn and is suspended in a magnetic field of induction $B$ . When a current $I$ is passed through the loop, the maximum torque experienced by it is

$(\frac{1}{4 π}) B I l^{2}$

$\frac{1}{4 π} B I^{2} l$

$(\frac{1}{4 π}) B I l$

$(\frac{1}{4 π}) B^{2} I l$

$(\frac{1}{4 π}) B^{2} I^{2} l^{2}$

Q. The wire of length l is bent into a circular loop of a single turn and is suspended in a magnetic field of induction B. When a current I is passed through the loop, the maximum torque experienced by it is

(4π1​​)BIl2

4π1​BI2l

(4π1​​)BIl

(4π1​​)B2Il

(4π1​​)B2I2l2