What is the gain, V of the given circuit at a frequency of f = 60 Hz, given that R= 10 2 L=50 mH. and C 200 µF? R Vin Vout

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**Question:**

What is the gain, \( \frac{V_{\text{out}}}{V_{\text{in}}} \), of the given circuit at a frequency of \( f = 60 \, \text{Hz} \), given that \( R = 10 \, \Omega \), \( L = 50 \, \text{mH} \), and \( C = 200 \, \mu\text{F} \)?

**Circuit Diagram Explanation:**

The circuit includes:

- An AC voltage source labeled \( V_{\text{in}} \).
- A resistor \( R \) with a resistance of \( 10 \, \Omega \).
- An inductor \( L \) with an inductance of \( 50 \, \text{mH} \).
- A capacitor \( C \) with a capacitance of \( 200 \, \mu\text{F} \).

The components are connected in series. The output voltage, labeled \( V_{\text{out}} \), is measured across the inductor and capacitor.
Transcribed Image Text:**Question:** What is the gain, \( \frac{V_{\text{out}}}{V_{\text{in}}} \), of the given circuit at a frequency of \( f = 60 \, \text{Hz} \), given that \( R = 10 \, \Omega \), \( L = 50 \, \text{mH} \), and \( C = 200 \, \mu\text{F} \)? **Circuit Diagram Explanation:** The circuit includes: - An AC voltage source labeled \( V_{\text{in}} \). - A resistor \( R \) with a resistance of \( 10 \, \Omega \). - An inductor \( L \) with an inductance of \( 50 \, \text{mH} \). - A capacitor \( C \) with a capacitance of \( 200 \, \mu\text{F} \). The components are connected in series. The output voltage, labeled \( V_{\text{out}} \), is measured across the inductor and capacitor.
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