Electrical Circuit Analysis: Inductors, Capacitors, and Switches

Inductor Current Calculation with Voltage Function

1.The current in the inductor at t = 0 is known to be 0. The voltage across the inductor is v(t) = Vmcosωt. Determine the current i(t).

a.Determine the current i(t).

b. Determine the energy stored in the inductor as a function of time ( ie. w(t) )

c. Determine the energy stored in the inductor at t = 2 ? ?

2.) In the circuit below, the two capacitors are known to have no energy stored in them prior to the closing of the switch at t = 0 seconds.

Determine the following in terms of Vg, Rg, R1, C1 and C2:

a.v(0- )

b. v(0+ ) 

c. v(∞) 

d. v(t), the voltage across the capacitors as a function of time for t > 0

3. After being in the “a” position for a “long time”, the switch in the circuit is moved to position “b” at t = 0. Determine the voltage across the capacitor as a function of time for t > 0. Sketch the voltage across the capacitor for t > 0

4. In the circuit below, both switches have been open for a “long time”. At t = 0 sec., switch 1 closes. At t = .1 msec switch 2 closes. Determine the current through the inductor for t > 0 seconds