A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of text1 textmm texts-1. The induced emfwhen the radius is 2 cm, is

Question

A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of text1 textmm texts-1. The induced emfwhen the radius is 2 cm, is (A)  2π μ V  (B)  π μ V  (C)  (π /2)μ V  (D)  2μ V

Tardigrade Admin · Accepted Answer

Magnetic flux texto|= B.A =B.π r2 Induced emf, |e|=(d texto ! !| ! ! text /dt)=Bπ 2r(dr/dt) =0.025× π × 2× 2× 10-2× 1× 10-3 =π μ V

Q. A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of $1 mm s^{- 1} .$ The induced emfwhen the radius is 2 cm, is

$2 π μ V$

$π μ V$

$\frac{π}{2} μ V$

$2 μ V$

Magnetic flux $o ∣ = B . A$ $= B . π r^{2}$ Induced emf, $∣ e ∣ = \frac{d o ∣}{d t} = B π 2 r \frac{d r}{d t}$ $= 0.025 \times π \times 2 \times 2 \times 10^{- 2} \times 1 \times 10^{- 3}$ $= π μ V$

Q. A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1mms−1. The induced emfwhen the radius is 2 cm, is

2πμV

πμV

2π​μV

2μV