3) In the following circuit, find vo(t) Consider: R₁=1 km2, R₂=2 km2, C₁-2000 μF, C₂ = 1000 μF, vi(t)- 5 cos (2t) volts Vi ANS: R1 C1 R2 C₂ R₂ Vo Ze-j 250, Z=-j 500 2, Inverting amplifier: Vo= (Z₂/Z₁) Vi Where: Z₂ = R₂ + Z₂; Z₁ = R₁ +Ze1; Vo= 10180° volts; vo(t) = 10 cos (2 t + 180°) volts
Power Amplifier
The power amplifier is an electronic amplifier designed to maximize the signal strength of a given input. The input signal strength is enhanced to a high enough level to drive output devices such as speakers, headphones, RF (Radio frequency) transmitters, etc. Unlike voltage / current amplifiers, the power amplifier is designed to drive core loads directly and is used as a storage block in the amplifier series.
Maximum Efficiency Criterion
In every field of engineering, there is a tremendous use of the machine and all those machines are equipped for their popular work efficiency so it very much important for operation engineers to monitor the efficiency of the machine, planning engineers to check out the efficiency of the machine before installing the machine and design engineers to design machine for higher efficiency than and then the utility will procure their products that will ultimately lead to profit and loss of the company. It indicates the importance of efficiency right from the initial stage as manufacturing units, intermediate stage as planning coordinators, and end-users stage as a utility.
![### Problem 3: Circuit Analysis
**Objective:**
In the following circuit, find \( v_o(t) \).
**Given Parameters:**
- \( R_1 = 1 \, \text{k}\Omega \)
- \( R_2 = 2 \, \text{k}\Omega \)
- \( C_1 = 2000 \, \mu\text{F} \)
- \( C_2 = 1000 \, \mu\text{F} \)
- \( v_i(t) = 5 \cos (2t) \, \text{volts} \)
**Circuit Description:**
This circuit is composed of a combination of resistors \( R_1 \), \( R_2 \) and capacitors \( C_1 \), \( C_2 \), connected to an operational amplifier in an inverting configuration.
**Solution Approach:**
1. Calculate the impedances:
- \( Z_{c1} = -j \, 250 \, \Omega \)
- \( Z_{c2} = -j \, 500 \, \Omega \)
2. Use the inverting amplifier formula:
\[
V_o = - \left( \frac{Z_2}{Z_1} \right) V_i
\]
3. Determine total \( Z \):
- \( Z_2 = R_2 + Z_{c2} \)
- \( Z_1 = R_1 + Z_{c1} \)
4. Calculate:
- \( V_o = 10 \angle 180^\circ \, \text{volts} \)
5. Result:
- \( v_o(t) = 10 \cos (2t + 180^\circ) \, \text{volts} \)
### Problem 4: Circuit Analysis
**Objective:**
In the following circuit, find \( v_o(t) \).
**Given Parameters:**
- \( R_1 = 1 \, \text{k}\Omega \)
- \( R_2 = 2 \, \text{k}\Omega \)
- \( C_1 = 2000 \, \mu\text{F} \)
- \( C_2 = 1000 \, \mu\text{F} \)
- \( v_i(t) = 2 \cos (2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe36fb7f7-6381-4add-b52b-9085dfd27844%2Fb7ff54a0-2f66-4aed-80da-583d4e9639eb%2Fcb2k9cw_processed.jpeg&w=3840&q=75)
As per bartleby guidelines for more than one question asked only first is to be answered please upload the other separate.
Given:
The input voltage equation as:
Step by step
Solved in 3 steps with 1 images
