The magnetic flux through a loop of resistance 0-1- is varying according to the relation - - 6t2 - 7t - 1 where - is in milliweber and -t- is in second- What is the e-m-f- induced in the loop at t - 1s and the magnitude of the current-

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Standard XII

Physics

Magnetic Moment

The magnetic ...

Question

The magnetic flux through a loop of resistance $0.1 Ω$ is varying according to the relation $ϕ = 6 t^{2} + 7 t + 1$ where $ϕ$ is in milliweber and 't' is in second. What is the e.m.f. induced in the loop at t = 1s and the magnitude of the current?

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Solution

$ϕ = 6 t^{2} + 7 t + 1$
On differentiating with respect to t
$V = 12 t + 7$
V at 1 sec is 12+7=19mV
$I = \frac{V}{R} = 190 m A$

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The magnetic flux through a loop of resistance 0.1Ω is varying according to the relation ϕ=6t2+7t+1 where ϕ is in milliweber and 't' is in second. What is the e.m.f. induced in the loop at t = 1s and the magnitude of the current?

ϕ=6t2+7t+1On differentiating with respect to tV=12t+7V at 1 sec is 12+7=19mVI=VR=190mA

The magnetic flux through a loop of resistance $0.1 Ω$ is varying according to the relation $ϕ = 6 t^{2} + 7 t + 1$ where $ϕ$ is in milliweber and 't' is in second. What is the e.m.f. induced in the loop at t = 1s and the magnitude of the current?

$ϕ = 6 t^{2} + 7 t + 1$
On differentiating with respect to t
$V = 12 t + 7$
V at 1 sec is 12+7=19mV
$I = \frac{V}{R} = 190 m A$