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A solenoid of radius R and length L has ...

A solenoid of radius R and length L has a current `I = I​_0` cosωt. The value of induced electric field at a distance of r outside the solenoid, is

A

`(mu _(0) nl _(0) omega R ^(2))/( 2r) sin omega t `

B

`(mu _(0) nl _(0) omega R ^(2))/( r) sin omega t `

C

`(mu _(0) nl _(0) R ^(2))/( r) sin omega t `

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A

According to question
`(pi R^(2) ) (dB )/( dt ) = 2 pi r E `
where `B =mu _(0) nl `
`E=mu _(0) ( nl _(0) omega R^(2)) /( 2R) sin omega t `
Therefore
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