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PLzz solve this ques.

Interesting ques..

Interesting ques..

A circular conductin loop of radius r0 &having resistance per unit length src=http://www.goiit.com/equations/2009/2/11/cece2a79-8e43-4412-b419-a8cd207b265b.png is placed vertically in magnetic field B which is constant in space &time.The ends of the loop are crossed and pulled in opposite directions with velo v such dat the loop always remain circular and the radius of the loop goes on decreasing..then

1)radius of loop changes with time t as???

2)Find the current induced in the loop..

Deepak Patra , 11 Years ago
Grade upto college level
anser 1 Answers
ROSHAN MUJEEB

Last Activity: 4 Years ago

Perimeter is decreasing at a rate of 2v
ddt(2πr)=2v⇒drdt=vπddt(2πr)=2v⇒drdt=vπ
∴r=(r0−vπt)∴r=(r0-vπt)
ϕ=Bπr2⇒ɛ=∣∣∣−dϕdt∣∣∣=B2πrdrdtϕ=Bπr2⇒ɛ=|-dϕdt|=B2πrdrdt
∴ɛ=2Bπ(r0−vπt)vπ=2Bv(r0−vπt)∴ɛ=2Bπ(r0-vπt)vπ=2Bv(r0-vπt)
I=ϕR=2Bvrλ.2πr=Bvπλ

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