$[-/1\mathrm{.}66$ Points$]$

$$ SERCP$1220.$XP$.005.$

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A coil of wire has $7\mathrm{.}00$ turns, each turn enclosing an area of $2\mathrm{.}00{10}^{-3}{m}^2,$ while the total resistance of the coil is $1\mathrm{.}20{10}^{-3}.$ If a magnet is brought closer to the coil from a distance so that the magnetic field through each loop increases steadily from zero to $3\mathrm{.}60{10}^{-2}T$ over the course of $0\mathrm{.}705$ s $,$ determine the following.

$($a$)$ the maonitude of the induced emf in the coil while the flux is increasing

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$($b$)$ the current in the coil while the flux is increasing

$q,$ A

$9.[-/1\mathrm{.}66$ Points$]$

$$ SERCP$1220.$XP$.019.$

A technician wraps wire around a tube of length $38$ cm having a diameter of $7\mathrm{.}9$ cm $.$ When the windings are evenly spread over the full length of the tube, the result is a solenoid containing $600$ turns of wire.

$($a$)$ Find the self$-$inductance of this solenoid.

$$ mH

$($b$)$ If the current in this solenoid increases at the rate of $3\frac{A}{s},$ what is the self$-$induced emf in the solenoid?

$$ mV