Problem $7$: $(13\%$ of Assignment Value$)$

The $0\mathrm{.}39k$ resistor, $525$ mH inductor and $4\mathrm{.}4$ V power supply are connected as shown. The switch was in position A for a long time before being thrown to position $B$ at time $t=0.$

In this case, we choose counterclockwise current as positive. This means that $V_L$ is positive if the left end of the inductor is at a higher voltage than the right end of the inductor.

Part $($a$)\sqrt[\phantom{2}]{?}$

What is the change in voltage across the inductor just after the switch is thrown to position b$?$ Answer in volts.

$V_L=4\mathrm{.}400V$

$$ Correct!

Part $($b$)\sqrt[\phantom{2}]{?}$

What is time constant of this circuit? Answer in milli$-$seconds.

${}_L=1\mathrm{.}350ms$

$$ Correct!

Part $($c$)$

At what time is the current equal to $1\mathrm{.}4$ mA $?$ Answer in milli$-$seconds.

$t=2\mathrm{.}550ms$

Attempts Remain

Part $($d$)$

What is the change in voltage across the inductor at this time? Answer in volts.

$V_L=V$

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