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## Homework Statement

i(t) = 0 for t<0 and 5*cos(50t) for t>=0

Vc(0) = 0

Circuit is current source, 5 ohm resister, 2 Henry inductor, and 3 Farad capacitor in series.

Need to find Vr(t), Vl(t), and Vc(t), voltage across resistor, inductor, and capacitor.

## Homework Equations

V= IR for resistor

V= L(di/dt) for inductor

V = 1/c(di/dt) for cap

## The Attempt at a Solution

di/dt = -250sin(50t)

Resistor:

Vr(t) = 25*cos(50t)

Inductor:

Vl(t) = 2*-250sin(50t)

=-500sin(50t)

Cap:

Vc(t) = 1/3*-250sin(50t)

= (-250/3)sin(50t)

I ran the simulation on multisim and the numbers do not agree.

The voltage across the cap shows 66.3mV p-p

ch1 = node between source and resistor

ch2 = node between resistor and inductor

ch3 = node between inductor and cap

ch4 = current probe 1mV/mA

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