Find the steady-state current i in the circuit shown in the figure when v, (t) = 10 cos (200t) V . 10Ω 5 mF ww 20 mH The steady-state current i in the circuit is| ]cos(200t+ ( | )) A. ll

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Find the steady-state current i in the circuit shown in the figure when  vs(t)=10cos(200t) Vvst=10cos200t V .

### Problem Statement
Find the steady-state current \( i \) in the circuit shown in the figure when \( v_s(t) = 10 \cos(200t) \, V \).

### Circuit Description
The circuit includes:
- A source voltage \( v_s \) represented by \( 10 \Omega \).
- A 10-ohm resistor.
- A 5 mF (millifarad) capacitor.
- A 20 mH (millihenry) inductor.

The circuit is in a series configuration, with the current \( i \) flowing from the voltage source through the resistor, capacitor, and inductor.

### Task
Calculate the steady-state current \( i \) in the circuit.

### Solution Format
The steady-state current \( i \) in the circuit is given in the form:
\[ i = \_\_\_ \cos(200t + (\_\_\_ ^{\circ})) \, \text{A} \]

Fill in the blanks with the relevant numerical values as per your calculation.
Transcribed Image Text:### Problem Statement Find the steady-state current \( i \) in the circuit shown in the figure when \( v_s(t) = 10 \cos(200t) \, V \). ### Circuit Description The circuit includes: - A source voltage \( v_s \) represented by \( 10 \Omega \). - A 10-ohm resistor. - A 5 mF (millifarad) capacitor. - A 20 mH (millihenry) inductor. The circuit is in a series configuration, with the current \( i \) flowing from the voltage source through the resistor, capacitor, and inductor. ### Task Calculate the steady-state current \( i \) in the circuit. ### Solution Format The steady-state current \( i \) in the circuit is given in the form: \[ i = \_\_\_ \cos(200t + (\_\_\_ ^{\circ})) \, \text{A} \] Fill in the blanks with the relevant numerical values as per your calculation.
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