An AC current source is connected to an inductor with an inductance L $=7$ H$.$ At time t $=0,$ the current through the inductor is i$0=0$ A$.$ The power supply provides a time$-$dependent current i through the inductor as described by the following equation: i$($t$)=10$cos$($t$),$ where $=500$ rad$/$s$.$ The current is measured in units of Amps.

mwst$230$@uky.edu$9$K$89-79-9$C$-41-862$E$-55371$

$-$ Part $($a$)$

Determine the current through the inductor, in amperes, at time t $=4\mathrm{.}5$ sec$.$

i $=8\mathrm{.}0908\mathrm{.}090$Correct$!$

$$ Part $($b$)$

Determine the voltage across the inductor, in volts, at time t $=4\mathrm{.}5$ sec$.$

v $=$

$|$

sin$()$cos$()$tan$()$cotan$()$asin$()$acos$()$atan$()$acotan$()$sinh$()$cosh$()$tanh$()$cotanh$()$

Degrees Radians

$()789$HOMEE$^^456/*123+-0.$END$()$BACKSPACEDELCLEAR

Grade$$Summary

Deductions$20\%$Potential$80\%$

Submissions

Attempt$($s$)$Remaining:$6$

$5\%$ Deduction per Attemptdetailed$$view

$15\%25\%35\%45\%$

mwst$230$@uky.edu

$9$K$89-79-9$C$-41-862$E$-55371$

$6$ Submission$($s$)$ Remaining

Hints: $0$ for a $0\%$ deduction. Hints remaining: $0$

Feedback: $0\%$ deduction per feedback.

$-$ Part $($c$)$

Determine the magnitude of the maximum voltage, in volts, across the inductor.

Vmax $=3\mathrm{.}5001043\mathrm{.}500104$Correct$!$