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The magnetic flux (phi) in a closed circ...

The magnetic flux `(phi)` in a closed circuit of resistance `20 Omega` varies with time (t) according to the equation `phi = 7t^(2) - 4t` where `phi` is in weber and t is in seconds. The magnitude of the induced current at t =0.25s is

A

25 mA

B

0.025 mA

C

47 mA

D

175 mA

Text Solution

Verified by Experts

`phi=7t^(2)-4t`
`implies` Induced emf `:|e|=(dphi)/(dt)=14t-4`
`implies` Induced current :
`i=(|e|)/(R)=(|14t-4|)/(20)=(|14xx0.25-4|)/(20)`
(at t=0.25 s)
`=(0.5)/(20)=2.5xx10^(-2)A`
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