Us = 6 sin 2t V ΙΩ 252 www HH Vo Fig. P8.44 8.45 For the op-amp circuit shown in Fig. P8.45, find (a) v (t), and (b) the imped- ance seen by the voltage source. 31/12/200 1Ω v₂ = 3 cos 5t V HH 1 F 1 F Vo Fig. P8.45 8.48 For the series RC circuit shown in Fig. 8.33(a) [p. 384], change the value of the capacitor to 1 F and find p.(t) for the
KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.
Good day, please solve problem 8.45 showing all steps. This problem is just for practice and not for a grade. I have also attached the correct answer for the problem in the images below, as well as the problem statement. Thank you so much for your help.
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8.31
(a) 1.88 - j0.22 Ω, (b) 1 Ω, (c) 0.4 + j1.2 Ω
8.34
2.77 cos(√3t - 60°) A
8.35
6√2/165° V, 0.5 - j9.5 Ω
8.37
cos(2t - 90°) = sin 2t V
8.39
6.8∠30° A, 6.8∠-90° A
8.41
(a) 5.88 cos(2t + 78.7°) V, (b) 1.15 - j0.23 Ω
8.43
(a) 6.91 - j0.30 Ω, (b) 3.20 - j0.40 Ω
8.45
(a) 0.219 cos(5t - 146.9°) V, (b) 0.5 - j0.2 Ω
8.47
2√2 cos(4t + 45°) V
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This list includes expressions involving phasors, impedance, and sinusoidal functions, which are common in alternating current (AC) circuit analysis. Each line provides a different mathematical expression to analyze or solve. The notations involve angles, complex numbers, and standard AC signals."
![## Textbook Problem Descriptions and Circuit Analysis
### Figure P8.44 Description:
This figure illustrates an op-amp circuit. The circuit has the following components:
- An input voltage source \( v_s = 6 \sin 2t \, \text{V} \).
- A resistor of \(2 \, \Omega\) connected at the inverting input of the op-amp.
- A parallel connection of the resistor and a capacitor of \( \frac{1}{4} \, \text{F} \).
- A \(1 \, \Omega\) resistor connected to the ground.
- The output voltage is denoted as \( v_o \).
### Exercise 8.45:
- **Task**: For the op-amp circuit shown in Fig. P8.44, calculate:
- (a) The output voltage \( v_o(t) \).
- (b) The impedance seen by the voltage source.
### Figure P8.45 Description:
This figure depicts another op-amp circuit. The key elements are:
- An input voltage source \( v_s = 3 \cos 5t \, \text{V} \).
- A \( \frac{1}{2} \, \Omega\) resistor in series with a \(1 \, \Omega\) resistor.
- Two \(1 \, \text{F}\) capacitors, one connected in series and the other to the ground.
- The output of the op-amp is labeled as \( v_o \).
### Exercise 8.48:
- **Task**: For the series RC circuit shown in Fig. 8.33(a), adjust the capacitor value to \(1 \, \text{F}\) and determine \( v_o(t) \) given:
\[
v_s(t) = \frac{1}{\pi} + \frac{1}{2} \sin \pi t - \frac{2}{3\pi} \cos 2\pi t \, \text{V}
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