Resistor R: 10K?, Capacitor C: 47?fd, Inductor L: 150mh, assume i L (t 0 ) = 0 [

Question

Resistor R: 10K?, Capacitor C: 47?fd, Inductor L: 150mh, assume iL(t0) = 0

[4]  The voltage waveform is shown below is vL(t) across a 0.5H inductor. What is the current through the inductor after 5 milliseconds? The time scale is in seconds, but make it milliseconds.

Resistor R: 10K?, Capacitor C: 47?fd, Inductor L: 150mh, assume iL(t0) = 0 The voltage waveform is shown below is vL(t) across a 0.5H inductor. What is the current through the inductor after 5 milliseconds? The time scale is in seconds, but make it milliseconds.

Explanation / Answer

voltage across inductor=L*di/dt

where i is the current

i=integral of (1/L)*v*dt

so at 10 us,

we need to find area under the v-t curve and then divide by L value to get the current value.

area=5*2-1*5=5 V.ms

so current=5/0.15=33.33 mA

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