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Authors:
J. David Irwin, R. Mark Nelms
Chapter:
Ac Steady-state Analysis
Exercise:
Problems
Question:5 | ISBN:9780470633229 | Edition: 10

Question

P8.5 Calculate the current in the capacitor shown in Fig. P8.5 if the voltage input is (a) v1(t) = 10 Cos (377t - 30°) V.

           (b) v2(t) = 12 Sin (377t + 60°) V. 

Give the answers in both the time and frequency domains.

FigP8.5

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Answer

8.5

a) Given that

 

 Capacitance

The voltage -current relationship for Passive element , the capacitor is

 

 

      

 

      7

 

      .­­­­

     

 

Therefore ,the current written as a time function is

 

The resultant Phasor current is

 

b)

Given that

 

capacitance

The voltage current relationship for passive element

 

 

      

 

     

     

     

     

Therefore the current written in a time function is

 

The resultant Phasor current is

 

 

 

 

 

 

 

 

  

 

 

 

 

 

 

 

 

0 0

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