an ideal current source is connected in series with an ideal inductor of 50 milliHenriesthe current source is not constant but a time varying sinusoid. the following formula describes the current in the units of Amperes : i(t) 10cos(500t)derive a formula for the voltage across the inductor, in the units of Volts, as a function of time.note that the units of Amperes per second time Henries yields Volts.I KNOW THIS IS A ODE PROBLEM, Im nor sure how to work the problem any help is welcome, thanks in advance.
You use the definition of inductance (L) V L*di/dt where V is the induced voltage, and di/dt is the rate of change of current in the inductor. i(t) 10 cos(500*t) di/dt -500*10*sin(500*t) V -25*sin(500*t) note that the current function is not a sinusoid but is a cos function.
