Assignment:
Problems:
1. For the circuit to the right:
a. Analyze the circuit at t= 0+ , that is, the moment after the switch is closed.
b. Analyze the circuit as t → ∞, that is, as the circuit approaches it's equilibrium state.
![629_D 35.jpg](https://secure.tutorsglobe.com/CMSImages/629_D 35.jpg)
2. For the circuit to the right:
a. Analyze the circuit at t = 0+, that is, the moment after the switch is closed.
b. Analyze the circuit as t → ∞ , 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?
![225_D 36.jpg](https://secure.tutorsglobe.com/CMSImages/225_D 36.jpg)
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 VC, VR, and I.
![2309_D 37.jpg](https://secure.tutorsglobe.com/CMSImages/2309_D 37.jpg)
4. For the circuit to the right:
a. Determine the circuit's time constant.
b. How much current will be flowing 6 μSeconds after the switch is closed?
c. Write an expression for VL, VR, and I.
![1141_D 38.jpg](https://secure.tutorsglobe.com/CMSImages/1141_D 38.jpg)
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 VC, VR1 and VR3 at t= 0+.
b. Determine the time constant of the circuit once the switch is moved into the "down" position.
c. Write an expression for Vc, VR1, VR3 and I when the switch is in the "down" position. (Hint: The capacitor is discharging)
![876_D 39.jpg](https://secure.tutorsglobe.com/CMSImages/876_D 39.jpg)
6. The switch in the circuit has been in the "up" position for a long time. At T= 0+ , the switch is moved into the "down" position.
a. Determine VL, VR1 and VR3 at T= 0+. (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?
![165_D 40.jpg](https://secure.tutorsglobe.com/CMSImages/165_D 40.jpg)
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
![830_D 42.jpg](https://secure.tutorsglobe.com/CMSImages/830_D 42.jpg)
8. Write an algebraic expression for the waveform shown to the right.
![743_D 43.jpg](https://secure.tutorsglobe.com/CMSImages/743_D 43.jpg)
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.
![2331_D 44.jpg](https://secure.tutorsglobe.com/CMSImages/2331_D 44.jpg)
10. Determine the reactance of the following components at:
ƒ = 150 hz, ƒ= 1.5 khz, and ƒ = 15 khz
a. C = 0.027 uF
b. L = 750 mH
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 ƒ → 0 hz and ƒ → ∞ hz.