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7. The waveform of a time-varying current i(t) is shown in the following figure. i(t) [A] 32 3- 1 -1+ -2 -3+ 1 2 (a) What is the time-average value of i(t)? (b) What is the RMS value of i(t)? 3 4 5 6 7 8 9 10 t [s] .......

7. The waveform of a time-varying current i(t) is shown in the following figure. i(t) [A] 32 3- 1 -1+ -2 -3+ 1 2 (a) What is the time-average value of i(t)? (b) What is the RMS value of i(t)? 3 4 5 6 7 8 9 10 t [s] .......

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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Circuits 1 HW 7 Q7
**Transcription for Educational Website:** **Problem 7: Analysis of Time-Varying Current Waveform** The waveform of a time-varying current \( i(t) \) is shown in the figure below. **Graph Details:** - The vertical axis represents the current \( i(t) \), measured in amperes (A). - The horizontal axis represents time \( t \), measured in seconds (s). The behavior of the waveform across the time interval from \( t = 0 \) to \( t = 10 \) seconds can be observed as follows: 1. **From \( t = 0 \) to \( t = 2 \) seconds:** The current increases linearly from 0 A to 2 A. 2. **From \( t = 2 \) to \( t = 4 \) seconds:** The current remains constant at 2 A. 3. **From \( t = 4 \) to \( t = 5 \) seconds:** The current drops suddenly to 0 A. 4. **From \( t = 5 \) to \( t = 7 \) seconds:** The current decreases linearly from 0 A to \(-3\) A. 5. **From \( t = 7 \) to \( t = 9 \) seconds:** The current holds steady at \(-3\) A. 6. **From \( t = 9 \) to \( t = 10 \) seconds:** The current linearly returns from \(-3\) A to 0 A. **Questions:** (a) What is the time-averaged value of \( i(t) \)? (b) What is the RMS value of \( i(t) \)?
Transcribed Image Text:**Transcription for Educational Website:** **Problem 7: Analysis of Time-Varying Current Waveform** The waveform of a time-varying current \( i(t) \) is shown in the figure below. **Graph Details:** - The vertical axis represents the current \( i(t) \), measured in amperes (A). - The horizontal axis represents time \( t \), measured in seconds (s). The behavior of the waveform across the time interval from \( t = 0 \) to \( t = 10 \) seconds can be observed as follows: 1. **From \( t = 0 \) to \( t = 2 \) seconds:** The current increases linearly from 0 A to 2 A. 2. **From \( t = 2 \) to \( t = 4 \) seconds:** The current remains constant at 2 A. 3. **From \( t = 4 \) to \( t = 5 \) seconds:** The current drops suddenly to 0 A. 4. **From \( t = 5 \) to \( t = 7 \) seconds:** The current decreases linearly from 0 A to \(-3\) A. 5. **From \( t = 7 \) to \( t = 9 \) seconds:** The current holds steady at \(-3\) A. 6. **From \( t = 9 \) to \( t = 10 \) seconds:** The current linearly returns from \(-3\) A to 0 A. **Questions:** (a) What is the time-averaged value of \( i(t) \)? (b) What is the RMS value of \( i(t) \)?
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