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An oscilloscope trace indicates that the voltage output v from a sensor varies harmonically, with zeroes occurring every 8ms. The first zero v occurs at t=5.5ms, the amplitude of the signal is 1.2 Volt, and v> 0 at t = 0: (a) Express this signal as a complex exponential. Write the complex amplitude in polar and rectangular forms. (b) Express the time rate of change of the voltage as a complex exponential. Write this quantity in polar and rectangular forms.

An oscilloscope trace indicates that the voltage output v from a sensor varies harmonically, with zeroes occurring every 8ms. The first zero v occurs at t=5.5ms, the amplitude of the signal is 1.2 Volt, and v> 0 at t = 0: (a) Express this signal as a complex exponential. Write the complex amplitude in polar and rectangular forms. (b) Express the time rate of change of the voltage as a complex exponential. Write this quantity in polar and rectangular forms.

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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An oscilloscope trace indicates that the voltage output v from a sensor varies harmonically, with zeroes occurring every 8ms. The first zero v occurs at t=5.5ms, the amplitude of the signal is 1.2 Volt, and v> 0 at t = 0: (a) Express this signal as a complex exponential. Write the complex amplitude in polar and rectangular forms. (b) Express the time rate of change of the voltage as a complex exponential. Write this quantity in polar and rectangular forms.
Transcribed Image Text:An oscilloscope trace indicates that the voltage output v from a sensor varies harmonically, with zeroes occurring every 8ms. The first zero v occurs at t=5.5ms, the amplitude of the signal is 1.2 Volt, and v> 0 at t = 0: (a) Express this signal as a complex exponential. Write the complex amplitude in polar and rectangular forms. (b) Express the time rate of change of the voltage as a complex exponential. Write this quantity in polar and rectangular forms.
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