CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A conducting circular loop is placed in a uniform magnetic field B=0.025T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 1mm/s. What is the induced emf in the loop if the radius is 2cm?


Open in App
Solution

Step 1: Given

Magnetic field B=0.025T

The radius of the loop r=2cm=2×10-2m

the constant rate at which the loop shrinks =drdt=1×10-3ms-1

Step 2: Formulae used

Magnetic flux linked with the loop ϕ=BAcosθ=Bπr2cos0=Bπr2(cos0=1)

Step 3: Solution

Induced emf will be:

dϕdt=d(Bπr2)dt=Bπ2rdrdt=0.025×π×2×2×10-2×1×10-3=π×10-6V=πμV

The induced emf in the loop isπμV.


flag
Suggest Corrections
thumbs-up
2
BNAT
mid-banner-image