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The magnetic flux through a loop of resi...

The magnetic flux through a loop of resistance `R=0.2Omega` is varying according to the relation `phi = 6t^(2) +7t +1`, where `phi` is in milliwebers and t is in second. What is the magnitude of emf induced in the loop at t = 2 s? What is the magnitude of current?

Text Solution

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Here, flux, `phi = 6t^2 + 7t + 1`
`:.` Induced emf, `E = (d(phi))/(dt)`
`implies E = (d)/(dt) (6t^2 +7t +1)`
`implies E = (12t +7 )mV`
At ` t = 2s , (E) _(t=2) =(12 xx 2 +7) = 31 mV`
`:.` Current in circuit ,
`I = E/R = (31 xx10^(-3))/(0.2)= 0.155 A`
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