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The response of an electrical circuit is modeled by the function v(t) =5-3e ^ -t/10 , where “V” represents the output voltage in Volts and “t” is the time is milliseconds after the circuit is turned on.  a)  Determine the output voltage at the instant the circuit is turned on ( t = 0).  b) Determine the time at which the output voltage will reach 4 Volts.  c) Sketch the graph of the voltage function for t>0.  Show the asymptote and the vertical intercept.

The response of an electrical circuit is modeled by the function v(t) =5-3e ^ -t/10 , where “V” represents the output voltage in Volts and “t” is the time is milliseconds after the circuit is turned on.  a)  Determine the output voltage at the instant the circuit is turned on ( t = 0).  b) Determine the time at which the output voltage will reach 4 Volts.  c) Sketch the graph of the voltage function for t>0.  Show the asymptote and the vertical intercept.

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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  1. The response of an electrical circuit is modeled by the function v(t) =5-3e ^ -t/10 , where “V” represents the output voltage in Volts and “t” is the time is milliseconds after the circuit is turned on.

 a)  Determine the output voltage at the instant the circuit is turned on ( t = 0).





 b) Determine the time at which the output voltage will reach 4 Volts.












 c) Sketch the graph of the voltage function for t>0.  Show the asymptote and the vertical intercept.

 

 

d) determine an equation of a rational function that has the following characteristics.

  • a horizontal asymptote defined by y = 1
    • a vertical asymptote  defined by x = − 2
  • a zero x = 4  

 

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