50 Gs at 202 ↓ Ċ(+) 5m F 20mH Time Domain Nolt)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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This image depicts an electrical circuit in the time domain. The circuit consists of the following components:

- An AC voltage source on the left, denoted as "50 cos ωt".
- A resistor with a resistance of 2√2 Ohms.
- An inductor with an inductance of 20 mH.
- A capacitor with a capacitance of 5 mF.
- The current through the circuit is denoted as i(t).
- The output voltage across the capacitor is denoted as v₀(t).

The diagram shows the direction of current flow with a red arrow labeled i(t).

**Problem Statement:**

Find the angular frequency ω such that the output voltage v₀(t) equals zero.

Please enter the numerical answer only in the box provided, ensuring the unit is in radians per second (rad/s).
Transcribed Image Text:This image depicts an electrical circuit in the time domain. The circuit consists of the following components: - An AC voltage source on the left, denoted as "50 cos ωt". - A resistor with a resistance of 2√2 Ohms. - An inductor with an inductance of 20 mH. - A capacitor with a capacitance of 5 mF. - The current through the circuit is denoted as i(t). - The output voltage across the capacitor is denoted as v₀(t). The diagram shows the direction of current flow with a red arrow labeled i(t). **Problem Statement:** Find the angular frequency ω such that the output voltage v₀(t) equals zero. Please enter the numerical answer only in the box provided, ensuring the unit is in radians per second (rad/s).
**Question:**

What is \( i(t) \) in that case?

**Multiple Choice Options:**

- ○ \( 25 \cos(\omega t) \)
- ○ \( 25 \sin(\omega t) \)
- ○ \( 100 \cos(\omega t) \)
- ○ \( 100 \sin(\omega t) \)
Transcribed Image Text:**Question:** What is \( i(t) \) in that case? **Multiple Choice Options:** - ○ \( 25 \cos(\omega t) \) - ○ \( 25 \sin(\omega t) \) - ○ \( 100 \cos(\omega t) \) - ○ \( 100 \sin(\omega t) \)
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