See images attached. Help with finding sinusoid equations for graph

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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Help with finding sinusoid equations for graph

The image contains two graphs, titled "Waveform 1" and "Waveform 2," which display sine waves.

### Graph Explanation

#### Waveform 1
- **X-axis (Horizontal):** Represents Time in seconds (s), ranging from 0 to 0.01.
- **Y-axis (Vertical):** Represents amplitude, ranging from -8 to 8.
- **Description:** The sine wave oscillates between -8 and 8 over the given time period, completing approximately two full cycles. The peaks and troughs are symmetrical, indicating a regular sinusoidal pattern.

#### Waveform 2
- **X-axis (Horizontal):** Represents Time in seconds (s), ranging from 0 to 0.01.
- **Y-axis (Vertical):** Represents amplitude, ranging from -8 to 8.
- **Description:** Similar to Waveform 1, this sine wave also oscillates between -8 and 8, completing two full cycles within the time frame. It maintains a consistent amplitude and frequency throughout the period.

Both waveforms illustrate periodic behaviors common in oscillating systems, showcasing fundamental properties of sine waves used in various educational contexts, such as physics and signal processing.
Transcribed Image Text:The image contains two graphs, titled "Waveform 1" and "Waveform 2," which display sine waves. ### Graph Explanation #### Waveform 1 - **X-axis (Horizontal):** Represents Time in seconds (s), ranging from 0 to 0.01. - **Y-axis (Vertical):** Represents amplitude, ranging from -8 to 8. - **Description:** The sine wave oscillates between -8 and 8 over the given time period, completing approximately two full cycles. The peaks and troughs are symmetrical, indicating a regular sinusoidal pattern. #### Waveform 2 - **X-axis (Horizontal):** Represents Time in seconds (s), ranging from 0 to 0.01. - **Y-axis (Vertical):** Represents amplitude, ranging from -8 to 8. - **Description:** Similar to Waveform 1, this sine wave also oscillates between -8 and 8, completing two full cycles within the time frame. It maintains a consistent amplitude and frequency throughout the period. Both waveforms illustrate periodic behaviors common in oscillating systems, showcasing fundamental properties of sine waves used in various educational contexts, such as physics and signal processing.
### Waveform Analysis

This page presents two graphs illustrating waveforms in the time domain. 

#### Waveform 3

- **Graph Description**: 
  - The horizontal axis represents time in seconds (s), ranging from 0 to 0.01 seconds.
  - The vertical axis represents the amplitude of the waveform, ranging from -3 to 3.
  - The waveform depicted is sinusoidal in nature, with peaks approximately at 0.0025 seconds and 0.0075 seconds, and troughs at 0.005 seconds.
  - It oscillates between the amplitude values of -3 and 3, completing roughly one and a half cycles within the given time span.

#### Waveform 4

- **Graph Description**:
  - Similar to Waveform 3, the horizontal axis represents time in seconds, ranging from 0 to 0.01 seconds.
  - The vertical axis represents amplitude, with values from -4 to 4.
  - This waveform also shows a sinusoidal pattern with peaks around 0.0025 seconds and 0.0075 seconds and troughs at approximately 0.005 seconds.
  - It oscillates between amplitudes of -4 and 4, completing about one and a half cycles within the time interval.

Both graphs exhibit basic sinusoidal behavior with different amplitude ranges, illustrating variations in waveform intensity. Such graphs are fundamental in understanding oscillatory behavior in various physical and engineering systems.
Transcribed Image Text:### Waveform Analysis This page presents two graphs illustrating waveforms in the time domain. #### Waveform 3 - **Graph Description**: - The horizontal axis represents time in seconds (s), ranging from 0 to 0.01 seconds. - The vertical axis represents the amplitude of the waveform, ranging from -3 to 3. - The waveform depicted is sinusoidal in nature, with peaks approximately at 0.0025 seconds and 0.0075 seconds, and troughs at 0.005 seconds. - It oscillates between the amplitude values of -3 and 3, completing roughly one and a half cycles within the given time span. #### Waveform 4 - **Graph Description**: - Similar to Waveform 3, the horizontal axis represents time in seconds, ranging from 0 to 0.01 seconds. - The vertical axis represents amplitude, with values from -4 to 4. - This waveform also shows a sinusoidal pattern with peaks around 0.0025 seconds and 0.0075 seconds and troughs at approximately 0.005 seconds. - It oscillates between amplitudes of -4 and 4, completing about one and a half cycles within the time interval. Both graphs exhibit basic sinusoidal behavior with different amplitude ranges, illustrating variations in waveform intensity. Such graphs are fundamental in understanding oscillatory behavior in various physical and engineering systems.
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