a small doubt of electromagnetism

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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

#Physics #Electricity and magnetism

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5 Answers

Lokesh Verma ·2009-12-13 21:36:37

someone try this.. it is simple!

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swaraj jena ·2009-12-14 00:51:34

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

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swaraj jena ·2009-12-23 09:46:08

someone try it

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106

Asish Mahapatra ·2009-12-24 00:04:52

induced electric field = 0
=> dÏ†/dt = 0
=> Ï†= consnt (i.e. independent of time)

Now Ï† is given as Ï† = (3kt*Ï€r₁² - kt*Ï€(r₂²-r₁²))
= ktÏ€*(4r₁² - r₂²)

Ï† is constant if coeff of t = 0

i.e. 4r₁² - r₂² = 0

=> r₁/r₂ = 0.5

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swaraj jena ·2009-12-24 03:59:12

thx asish

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a small doubt of electromagnetism

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