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Determine period, frequency and rms value of the plotted current waveforms. Host PT ((A) 1. MA A+ ()

Determine period, frequency and rms value of the plotted current waveforms. Host PT ((A) 1. MA A+ ()

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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**Determine Period, Frequency, and RMS Value of the Plotted Current Waveforms** **Graph (a) Explanation:** - **Axes:** - Horizontal axis represents time \( t(s) \). - Vertical axis represents current \( i(A) \). - **Waveform Description:** - The waveform is a square wave oscillating between +2 A and -2 A. - The wave has a period of 4 seconds, repeating every 4 seconds. **Graph (b) Explanation:** - **Axes:** - Horizontal axis represents time \( t(s) \). - Vertical axis represents current \( i(A) \). - **Waveform Description:** - The waveform is a sawtooth wave that linearly increases from 0 A to 5 A over a period of 2 seconds, then sharply drops to 0 A. - The wave repeats every 2 seconds. **Objectives:** For each waveform, determine the following parameters: 1. **Period** (T): The time duration over which the waveform repeats. 2. **Frequency** (f): The number of cycles per second, calculated as \( f = \frac{1}{T} \). 3. **RMS Value**: The root mean square value, representing the effective value of the waveform. **How to Calculate:** - **Period (T):** Measure the time duration for one complete cycle. - **Frequency (f):** Use the formula \( f = \frac{1}{T} \). - **RMS Value:** For waveforms like square and sawtooth waves, use standard RMS formulas specific to each shape. The RMS for these waveforms can be calculated using integral calculus or known formulas for these specific shapes.
Transcribed Image Text:**Determine Period, Frequency, and RMS Value of the Plotted Current Waveforms** **Graph (a) Explanation:** - **Axes:** - Horizontal axis represents time \( t(s) \). - Vertical axis represents current \( i(A) \). - **Waveform Description:** - The waveform is a square wave oscillating between +2 A and -2 A. - The wave has a period of 4 seconds, repeating every 4 seconds. **Graph (b) Explanation:** - **Axes:** - Horizontal axis represents time \( t(s) \). - Vertical axis represents current \( i(A) \). - **Waveform Description:** - The waveform is a sawtooth wave that linearly increases from 0 A to 5 A over a period of 2 seconds, then sharply drops to 0 A. - The wave repeats every 2 seconds. **Objectives:** For each waveform, determine the following parameters: 1. **Period** (T): The time duration over which the waveform repeats. 2. **Frequency** (f): The number of cycles per second, calculated as \( f = \frac{1}{T} \). 3. **RMS Value**: The root mean square value, representing the effective value of the waveform. **How to Calculate:** - **Period (T):** Measure the time duration for one complete cycle. - **Frequency (f):** Use the formula \( f = \frac{1}{T} \). - **RMS Value:** For waveforms like square and sawtooth waves, use standard RMS formulas specific to each shape. The RMS for these waveforms can be calculated using integral calculus or known formulas for these specific shapes.
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