Math Problem Statement
Solution
The circuit shown in your image is an op-amp circuit with resistors and a current source. We are tasked with calculating the output voltage at the output of the operational amplifier.
Analyzing the circuit:
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Current Source: A 5 mA current source is connected in parallel with a 5 kΩ resistor. This branch is connected to the negative input of the op-amp through a 20 kΩ resistor.
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Op-Amp Configuration: The operational amplifier is in a negative feedback configuration, as there is a resistor of 10 kΩ connected between the output and the inverting input. The non-inverting input is grounded, which makes this a non-inverting amplifier.
Steps to solve:
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Since the non-inverting terminal of the op-amp is connected to ground (0V), the voltage at the inverting terminal, , will also be approximately 0V (virtual short circuit in ideal op-amp conditions).
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Applying Kirchhoff's Current Law (KCL) at the inverting terminal: where is the voltage across the 5 kΩ resistor due to the 5 mA current source.
Let me calculate these values for you.The output voltage of the circuit is .
Would you like more details on the steps or have any other questions?
Here are some related questions for further exploration:
- How does the virtual short principle in op-amps work?
- What happens if the feedback resistor values are changed?
- Can you explain Kirchhoff's Current Law (KCL) in more detail?
- How would the circuit behave with a non-ideal op-amp?
- What is the significance of the negative sign in the output voltage?
Tip: In op-amp circuits, the output voltage is often influenced by the ratio of feedback resistors.
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Math Problem Analysis
Mathematical Concepts
Electrical Circuit Analysis
Operational Amplifiers
Kirchhoff's Current Law
Formulas
I = V / R
KCL: ΣI_in = ΣI_out
Theorems
Kirchhoff's Current Law (KCL)
Virtual Short Principle in Ideal Op-Amps
Suitable Grade Level
Undergraduate Electrical Engineering
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