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1. For the circuit to the right:
a. Analyze the circuit at

, that is, the moment after the

switch is closed.
b. Analyze the circuit as , that is, as the circuit approaches

it’s equilibrium state.

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2. For the circuit to the right:
a. Analyze the circuit at , that is, the moment after the

switch is closed.
b. Analyze the circuit as , that is, as the circuit

approaches it’s equilibrium state.
c. We could consider the capacitor a “by-pass” capacitor. What

does it by-pass and when?
d. We could similarly consider the inductor a “bi-pass”

inductor. What does it by-pass and when?

3. For the circuit to the right:
a. Determine the circuit’s time constant.
b. How long does it take the capacitor to “fully” charge?
c. Write an expression for and .

4. For the circuit to the right:
a. Determine the circuit’s time constant.
b. How much current will be flowing after the switch is

closed?
c. Write an expression for and .

5. The switch in the circuit to the right has been in the “up” position for a
long time. At , the switch is moved into the “down” position.

a. Determine and at
.

b. Determine the time constant of the circuit once the switch is
moved into the “down” position.

c. Write an expression for and when the switch is in
the “down” position. (Hint: The capacitor is discharging)

6. The switch in the circuit has been in the “up” position for a long time.

At , the switch is moved into the “down” position.
a. Determine and at

. (Hint: Treat the inductor
as a current source and apply Ohm’s Law)

b. What is the time constant of the circuit once the switch is
moved into the “down” position?

7. Determine the specified characteristics of the waveform to the
right.

a. The peak Voltage
b. The peak to peak Voltage
c. Period
d. Frequency
e. Angular Frequency

8. Write an algebraic expression for the waveform shown to the right.

9. Use the signals to the right to:
a. Determine the phase angle separating the two signals.
b. Write an expression for the signal shown on channel 2 with

the assumption that the signal on channel 1 is the
reference.

10. Determine the reactance of the following components at:

a.
b.
c. What happens to the reactance of each of these components in relation to the

frequency?
d. Sketch the points on a graph and extrapolate each components behavior as

and .

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