a small doubt of electromagnetism

Consider cylindrical region of the magnetic field shown in figure. region 1 and region 2 have magnetic field directed perpendicularly outward and inward respectively . fields are varying with time as
region1 :B=3kt
region 2:B=kt

then r1/r2 such that there is no induced electric field in the region out side magnetic field?
answer with explanation

5 Answers

62
Lokesh Verma ·

someone try this.. it is simple!

11
swaraj jena ·

your answer is wrong asish......the answer is 0.5 .again when induced emf is 0 it is not necessary that flux is 0.it should be constant.recheak it

11
swaraj jena ·

someone try it

106
Asish Mahapatra ·

induced electric field = 0
=> dφ/dt = 0
=> φ= consnt (i.e. independent of time)

Now φ is given as φ = (3kt*πr12 - kt*π(r22-r12))
= ktπ*(4r12 - r22)

φ is constant if coeff of t = 0

i.e. 4r12 - r22 = 0

=> r1/r2 = 0.5

11
swaraj jena ·

thx asish

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