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1. Given the voltage on a 72 µF capacitor is as shown in the graph, plot the current through the capacitor. Clearly label your axes and show the units. v(t) 30 V 10 V 4 1 -10 V- 10t (ms)

1. Given the voltage on a 72 µF capacitor is as shown in the graph, plot the current through the capacitor. Clearly label your axes and show the units. v(t) 30 V 10 V 4 1 -10 V- 10t (ms)

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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**Problem Statement:** 1. Given the voltage on a 72 µF capacitor is as shown in the graph, plot the current through the capacitor. Clearly label your axes and show the units. **Graph Description:** - The graph plots voltage \( v(t) \) against time \( t \). - The \( y \)-axis represents voltage in volts (V), labeled as \( v(t) \). - The \( x \)-axis represents time in milliseconds (ms), labeled as \( t \). - The voltage varies over time with specified values: - At \( t = 0 \) ms, \( v(t) = 0 \) V. - By \( t = 1 \) ms, \( v(t) = 30 \) V. - At \( t = 4 \) ms, \( v(t) = 10 \) V. - By \( t = 6 \) ms, \( v(t) = 0 \) V. - At \( t = 8 \) ms, \( v(t) = -10 \) V. - By \( t = 10 \) ms, \( v(t) = 0 \) V. The graph shows a piecewise linear function with clear peaks at \( v(t) = 30 \) V and valleys at \( v(t) = -10 \) V. The slopes change at each of the mentioned time intervals, creating triangular waveforms.
Transcribed Image Text:**Problem Statement:** 1. Given the voltage on a 72 µF capacitor is as shown in the graph, plot the current through the capacitor. Clearly label your axes and show the units. **Graph Description:** - The graph plots voltage \( v(t) \) against time \( t \). - The \( y \)-axis represents voltage in volts (V), labeled as \( v(t) \). - The \( x \)-axis represents time in milliseconds (ms), labeled as \( t \). - The voltage varies over time with specified values: - At \( t = 0 \) ms, \( v(t) = 0 \) V. - By \( t = 1 \) ms, \( v(t) = 30 \) V. - At \( t = 4 \) ms, \( v(t) = 10 \) V. - By \( t = 6 \) ms, \( v(t) = 0 \) V. - At \( t = 8 \) ms, \( v(t) = -10 \) V. - By \( t = 10 \) ms, \( v(t) = 0 \) V. The graph shows a piecewise linear function with clear peaks at \( v(t) = 30 \) V and valleys at \( v(t) = -10 \) V. The slopes change at each of the mentioned time intervals, creating triangular waveforms.
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