3. Find the total current I in the circuit below: 25 0 20 mH 50 µF v(t) = 10 Cos(2000 t)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
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Publisher:Robert L. Boylestad
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Please answer question 3 with details on how to do it. Make handwriting legible please. Thank you.

**Problem 3: Find the Total Current in the Circuit**

Given the following electrical circuit:

- Voltage source: \( v(t) = 10 \cos(2000t) \)
- Components:
  - Resistor: \( 25 \, \Omega \)
  - Inductor: \( 20 \, \text{mH} \)
  - Capacitor: \( 50 \, \mu\text{F} \)

The circuit consists of an AC voltage source connected in series with a resistor of \( 25 \, \Omega \). This series combination is then connected in parallel with an LC circuit consisting of an inductor (\( 20 \, \text{mH} \)) and a capacitor (\( 50 \, \mu\text{F} \)). The task is to determine the total current \( I \) flowing in the circuit.
Transcribed Image Text:**Problem 3: Find the Total Current in the Circuit** Given the following electrical circuit: - Voltage source: \( v(t) = 10 \cos(2000t) \) - Components: - Resistor: \( 25 \, \Omega \) - Inductor: \( 20 \, \text{mH} \) - Capacitor: \( 50 \, \mu\text{F} \) The circuit consists of an AC voltage source connected in series with a resistor of \( 25 \, \Omega \). This series combination is then connected in parallel with an LC circuit consisting of an inductor (\( 20 \, \text{mH} \)) and a capacitor (\( 50 \, \mu\text{F} \)). The task is to determine the total current \( I \) flowing in the circuit.
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