A conducting circular loop is placed in a uniform magnetic field 0 . 04   T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2   mm   s - 1 . The induced emf in the loop, when the

Question

A conducting circular loop is placed in a uniform magnetic field 0 . 04 &#160; T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 &#160; mm &#160; s - 1 . The induced emf in the loop, when the radius is 2 &#160; cm , is

Quantrex Academy · Accepted Answer

Correct answer: D. 3 . 2 &#x3C0; &#xA0; &#x3BC;V

ϕ = BA cos θ = B π r 2 cos 0 ∘ = B π r 2 ε = d ϕ dt = B π 2 r dr dt = 0.04 × π × 2 × 2 × 1 0 - 2 × 2 × 1 0 - 3 = 3.2 π × 1 0 - 6 V = 3.2 π μ V

A conducting circular loop is placed in a uniform magnetic field 0 . 04   T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2   mm   s - 1 . The induced emf in the loop, when the radius is 2   cm , is

Options

Correct answer

Step-by-step solution

More from Electromagnetic Induction

A conducting circular loop is placed in a uniform magnetic field 0 . 04 &#160; T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 &#160; mm &#160; s - 1 . The induced emf in the loop, when the radius is 2 &#160; cm , is

Options

Correct answer

Step-by-step solution

More from Electromagnetic Induction

A conducting circular loop is placed in a uniform magnetic field 0 . 04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mm s - 1 . The induced emf in the loop, when the radius is 2 cm , is