A flat, circular, steel loop of radius $75$ cm is at rest in a uniform magnetic field, as shown in an edge$-$on view in $($Figure $1).$ The field is changing with time, according to

$B(t)=(1\mathrm{.}4T)e^{-(0\mathrm{.}057s^{-1})t}$

Find the emf induced in the loop as a function of time $($assume $t$ is in seconds$).$

Express your answer in volts in terms of the variable $t.$

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Part B

When is the induced emf equal to $\frac{1}{19}$ of its initial value?

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Part C

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$1$ of $1$

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