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A magnetic flux through a stationary loo...

A magnetic flux through a stationary loop with a resistance `R` varies during the time interval `tau` as `phi=at(tau-t)`. Find the amount of the generated in the loop during that time

A

`(atau^2)/(2R)`

B

`(a^2tau^2)/(3R)`

C

`(2a^2tau^3)/(3R)`

D

`(atau)/(3R)`

Text Solution

Verified by Experts

The correct Answer is:
B
`e=|(dphi)/(dt)|=(atau=2at)`
`i=e/R=(atau-2at)/R`
`H=int_0^taui^2Rdt`
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