https://file.aiquickdraw.com/mathbot/file/172756099964182u47km3.jpg

What is the period and frequency of the GREEN wave?

To analyze the green waveform in the provided image and determine its **period** and **frequency**, let's first examine the following key points from the graph:

1. **Period**: The period \( T \) is the time it takes for the waveform to complete one full cycle.
2. **Frequency**: The frequency \( f \) is the reciprocal of the period, given by \( f = \frac{1}{T} \).

### Step-by-step breakdown:

- The green waveform appears to have a square shape. From the graph:
  - It starts at time \( t = 0 \) seconds with a value of 0 V.
  - The first rise occurs at about \( t = t_a \), which looks like \( t_a = 0.1 \) seconds.
  - It remains at a high value (approximately 5 V) until \( t = t_b \), which appears to be at \( t_b = 0.75 \) seconds.
  - The waveform then drops back to 0 V and completes its cycle after repeating this pattern.

### Period Calculation:
The period \( T \) is the time between successive repeats of the pattern. Based on the graph:
- One cycle starts at \( t = 0 \) s and repeats after \( t = 1.5 \) s.

Thus, the period of the green waveform is:
\[
T = 1.5 \, \text{seconds}
\]

### Frequency Calculation:
The frequency is the reciprocal of the period:
\[
f = \frac{1}{T} = \frac{1}{1.5} = 0.67 \, \text{Hz}
\]

### Summary:
- **Period of the green waveform**: 1.5 seconds
- **Frequency of the green waveform**: 0.67 Hz

Would you like more details on any part of this analysis?

Here are 5 relative questions to expand this discussion:
1. How does the period of a waveform affect its frequency?
2. What is the relationship between the green waveform and the blue waveform?
3. How can we calculate the duty cycle for a square wave?
4. Can we determine the voltage levels of the green wave more precisely from this graph?
5. How can we extract the time constants of the blue waveform?

**Tip**: For periodic waveforms like square waves, the duty cycle (time spent high versus the total period) is often an important characteristic to evaluate the signal's behavior.

Learn how to determine the period and frequency of a square waveform based on the provided voltage versus time graph. The green waveform has a period of 1.5 seconds and a frequency of 0.67 Hz. This problem is suitable for students studying waveform analysis in electrical engineering or signal processing.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation