if A = 5000 Vp = 25 Vn = 20 then what is Vout please show detailed steps

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if

A = 5000

Vp = 25

Vn = 20

then what is Vout

please show detailed steps 

The image shows a schematic diagram of an operational amplifier (op-amp) circuit.

**Components and Symbols:**

1. **Op-Amp Symbol:** 
   - A triangular shape represents the operational amplifier, labeled with "A" inside. 
   - The op-amp has a positive (+) and a negative (-) input terminal.

2. **Input Voltages:**
   - \( V_p \) and \( V_n \) are input voltage sources represented by circular symbols with upward arrows. 
   - \( V_p \) is connected to the positive input terminal of the op-amp.
   - \( V_n \) is connected to the negative input terminal of the op-amp.

3. **Output Voltage:**
   - \( V_{\text{out}} \) represents the output voltage, shown exiting from the single line on the right side of the op-amp.

4. **Ground Symbols:**
   - The circuit is shown grounded at three points for \( V_p \), \( V_n \), and \( V_{\text{out}} \).

**Explanation:**

This diagram illustrates a basic operational amplifier setup used for differential inputs. The output voltage (\( V_{\text{out}} \)) is proportional to the difference between the input voltages \( V_p \) and \( V_n \), multiplied by the gain (A) of the amplifier. In mathematical terms, \( V_{\text{out}} = A(V_p - V_n) \). This configuration is fundamental in applications like amplifiers, filters, and other signal processing equipment.
Transcribed Image Text:The image shows a schematic diagram of an operational amplifier (op-amp) circuit. **Components and Symbols:** 1. **Op-Amp Symbol:** - A triangular shape represents the operational amplifier, labeled with "A" inside. - The op-amp has a positive (+) and a negative (-) input terminal. 2. **Input Voltages:** - \( V_p \) and \( V_n \) are input voltage sources represented by circular symbols with upward arrows. - \( V_p \) is connected to the positive input terminal of the op-amp. - \( V_n \) is connected to the negative input terminal of the op-amp. 3. **Output Voltage:** - \( V_{\text{out}} \) represents the output voltage, shown exiting from the single line on the right side of the op-amp. 4. **Ground Symbols:** - The circuit is shown grounded at three points for \( V_p \), \( V_n \), and \( V_{\text{out}} \). **Explanation:** This diagram illustrates a basic operational amplifier setup used for differential inputs. The output voltage (\( V_{\text{out}} \)) is proportional to the difference between the input voltages \( V_p \) and \( V_n \), multiplied by the gain (A) of the amplifier. In mathematical terms, \( V_{\text{out}} = A(V_p - V_n) \). This configuration is fundamental in applications like amplifiers, filters, and other signal processing equipment.
Expert Solution
Step 1

Gain of the amplifier A = 5000

Positive terminal votlage = Vp = 25 V

Negative terminal voltage = Vn = 20 V

now 

Output voltage equation of the opamp is given by

Vout = A ( Vp - Vn)

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