Question 301: Electromagnetic Induction

Question

The magnetic flux through a loop of resistance $$10 ~\Omega$$ varying according to the relation $$\phi=6 \mathrm{t}^2+7 \mathrm{t}+1$$, where $$\phi$$ is in milliweber, time is in second at time $$\mathrm{t}=1 \mathrm{~s}$$ the induced e.m.f. is

Accepted Answer

Given $$\mathrm{R}=10 ~\Omega, \phi=6 \mathrm{t}^2+7 \mathrm{t}+1 ~\mathrm{mWb}, \mathrm{t}=1 \mathrm{~s}$$
From $$\mathrm{e}=\frac{\mathrm{d} \phi}{\mathrm{dt}}$$,
$$e=\frac{d}{d t}\left(6 t^2+7 t+1ight)=12 t+7$$
Put $$\mathrm{t}=1$$ in the above equation,
$$	herefore \quad \mathrm{e}=19 ~\mathrm{mV}$$

Answer

$$12 \mathrm{~mV}$$

Answer

$$7 \mathrm{~mV}$$

Answer

$$19 \mathrm{~mV}$$

Answer

$$19 \mathrm{~V}$$

Electromagnetic Induction

The magnetic flux through a loop of resistance $10 ~\Omega varying according to the relation \phi=6 \mathrm{t}^2+7 \mathrm{t}+1, where \phi is in milliweber, time is in second at time \mathrm{t}=1 \mathrm{~s}$ the induced e.m.f. is

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