For the inverting amplifier in Fig. 6_3, if Vin=-50 cos 10t (V), R₁= 200 Ohm and R-20 Ohm; what is Vout ? Vin 5 cos10t (V) O- 5 cos 10t (V) R₁ www Fig. 6_3 -1000 cos10t (V) 1000 cos101 (V Rf ww Vout

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**Inverting Amplifier Problem**

**Text:**
For the inverting amplifier in Fig. 6_3, if \( V_{\text{in}} = -50 \cos(10t) \, \text{(V)} \), \( R_1 = 200 \, \Omega \) and \( R_f = 20 \, \Omega \); what is \( V_{\text{out}} \)?

**Diagram:**
The diagram shows an inverting amplifier circuit with the following components:
- An input voltage source \( V_{\text{in}} \).
- A resistor \( R_1 \) connected to the inverting input (-) of an operational amplifier.
- A feedback resistor \( R_f \) connected from the output \( V_{\text{out}} \) to the inverting input (-).
- The non-inverting input (+) is grounded.

**Multiple Choice Options:**
- ○ \( 5 \cos(10t) \, \text{(V)} \)
- ○ \( -5 \cos(10t) \, \text{(V)} \)
- ○ \( -1000 \cos(10t) \, \text{(V)} \)
- ○ \( 1000 \cos(10t) \, \text{(V)} \)
Transcribed Image Text:**Inverting Amplifier Problem** **Text:** For the inverting amplifier in Fig. 6_3, if \( V_{\text{in}} = -50 \cos(10t) \, \text{(V)} \), \( R_1 = 200 \, \Omega \) and \( R_f = 20 \, \Omega \); what is \( V_{\text{out}} \)? **Diagram:** The diagram shows an inverting amplifier circuit with the following components: - An input voltage source \( V_{\text{in}} \). - A resistor \( R_1 \) connected to the inverting input (-) of an operational amplifier. - A feedback resistor \( R_f \) connected from the output \( V_{\text{out}} \) to the inverting input (-). - The non-inverting input (+) is grounded. **Multiple Choice Options:** - ○ \( 5 \cos(10t) \, \text{(V)} \) - ○ \( -5 \cos(10t) \, \text{(V)} \) - ○ \( -1000 \cos(10t) \, \text{(V)} \) - ○ \( 1000 \cos(10t) \, \text{(V)} \)
Expert Solution
Step 1: Given the inverting amplifier:

Circuit:

Electrical Engineering homework question answer, step 1, image 1

Input voltage, V subscript i n end subscript equals negative 50 space cos 10 t space straight V.

Input resistance, R subscript 1 equals 200 space straight capital omega.

Feedback resistance, R subscript f equals 20 space straight capital omega.

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