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(2) Draw the phasor of v₁ (t) in the phasor diagram. Make sure it is fully defined (also list the frequency). v₁(t) 3 V -3 V 2.5 s 2 s A Im + Re t

(2) Draw the phasor of v₁ (t) in the phasor diagram. Make sure it is fully defined (also list the frequency). v₁(t) 3 V -3 V 2.5 s 2 s A Im + Re t

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**(2)** Draw the phasor of \( v_1(t) \) in the phasor diagram. Make sure it is fully defined (also list the frequency). **Graph 1: Time Domain Waveform** - **Vertical Axis**: Voltage, \( v_1(t) \), with a range of \(-3 \, \text{V}\) to \(3 \, \text{V}\). - **Horizontal Axis**: Time, \( t \). - The waveform is a sinusoidal wave with a positive peak at \(3 \, \text{V}\) and a negative peak at \(-3 \, \text{V}\). - The period of the wave can be observed as it repeats every \(4.5 \, \text{s}\) (2.5 s + 2 s). **Graph 2: Phasor Diagram** - **Vertical Axis**: Imaginary Component (\(\text{Im}\)). - **Horizontal Axis**: Real Component (\(\text{Re}\)). - The diagram is currently empty and intended for drawing the phasor representation of \( v_1(t) \). **Description for Educational Purposes**: To draw the phasor of \( v_1(t) \), first determine the wave's frequency. The complete cycle lasts \(4.5 \, \text{s}\), so the frequency, \( f \), is calculated as: \[ f = \frac{1}{4.5 \, \text{s}} \approx 0.222 \, \text{Hz}. \] The phasor representation translates this sinusoidal signal into a rotating vector on the phasor diagram, showing magnitude and phase relative to the real axis (horizontal).
Transcribed Image Text:**(2)** Draw the phasor of \( v_1(t) \) in the phasor diagram. Make sure it is fully defined (also list the frequency). **Graph 1: Time Domain Waveform** - **Vertical Axis**: Voltage, \( v_1(t) \), with a range of \(-3 \, \text{V}\) to \(3 \, \text{V}\). - **Horizontal Axis**: Time, \( t \). - The waveform is a sinusoidal wave with a positive peak at \(3 \, \text{V}\) and a negative peak at \(-3 \, \text{V}\). - The period of the wave can be observed as it repeats every \(4.5 \, \text{s}\) (2.5 s + 2 s). **Graph 2: Phasor Diagram** - **Vertical Axis**: Imaginary Component (\(\text{Im}\)). - **Horizontal Axis**: Real Component (\(\text{Re}\)). - The diagram is currently empty and intended for drawing the phasor representation of \( v_1(t) \). **Description for Educational Purposes**: To draw the phasor of \( v_1(t) \), first determine the wave's frequency. The complete cycle lasts \(4.5 \, \text{s}\), so the frequency, \( f \), is calculated as: \[ f = \frac{1}{4.5 \, \text{s}} \approx 0.222 \, \text{Hz}. \] The phasor representation translates this sinusoidal signal into a rotating vector on the phasor diagram, showing magnitude and phase relative to the real axis (horizontal).
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