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The magnetic flux phi (in weber ) in a c...

The magnetic flux `phi` (in weber ) in a closed circuit of resistance 10`Omega` varies with time t (in secnod) according to equation `phi=6t^(2)-5t+1`. The magnitude of induced current at `t=0.25` s is

A

0.2A

B

0.6A

C

1.2A

D

0.8A

Text Solution

Verified by Experts

The correct Answer is:
A
Induced emf
`epsi = -(dphi)/(dt) = - (d)/(dt) (6t^2 - 5t +1) = -12t + 5`
At t = 0.25 s, `epsi = -12(0.25) + 5 = 2` volt
Induced current `II = epsi/R = 2/10 = 0.2 A`
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