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An elector is moving in a circular orbit...

An elector is moving in a circular orbit of radius `R` with an angular acceleration `alpha`. At the centre of the orbit is kept a conducting loop of radius `r, (r lt lt R)`. The e.m.f induced in the smaller loop due to the motion of the electron is

A

zero, since charge on electron in constant

B

`(mu_(0)er^(2))/(4R)alpha`

C

`(mu_(0)er^(2))/(4piR)alpha`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`i=(eomega)/(2pi) …(1)`
`B=mu_(0)/(4pi)(2i)/R=(mu_(0)i)/(2R) …(2)`
From (1) and (2)
`phi=BA=(mu_(0)i)/(2R).pir^(2)=(mu_(0)pir^(2))/(2R).(eomega)/(2pi)`
`e=BA=(mu_(0)r^(2)e)/(4pi)(domega)/(dt)=(mu_(0)r^(2)ealpha)/(4R)`
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