Transient Response of Electrical Network

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SUMMARY

The discussion centers on the transient response of electrical networks, specifically addressing the behavior of capacitive and inductive circuits. It establishes that in a capacitive circuit, current leads voltage, while in an inductive circuit, current lags voltage. The participants conclude that for oscillations to occur in a circuit, resistance (R) must be zero, indicating an undamped system. The complex impedance (Z) calculation for a given exercise reveals inconsistencies with the book's answer, suggesting that the resistance cannot vary with time.

PREREQUISITES
  • Understanding of capacitive and inductive reactance
  • Knowledge of complex impedance calculations
  • Familiarity with oscillation theory in electrical circuits
  • Basic principles of transient response in electrical networks
NEXT STEPS
  • Study complex impedance in AC circuits using phasor analysis
  • Explore the role of damping in oscillatory systems
  • Learn about the implications of resistance in transient responses
  • Review the principles of RLC circuits and their transient behaviors
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Electrical engineering students, circuit designers, and professionals analyzing transient responses in electrical networks.

jaus tail
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Homework Statement


upload_2018-1-24_12-11-37.png


Homework Equations


In Capacitance current leads voltage
In Inductance current lags voltage
For oscillations R = 0

3. The Attempt at a Solution

Since current is leading voltage in above question, impedance is capacitive.
Book answer is D for both.
How?

And for 3rd question, should R be 0, else circuit is damped. Oscillations mean undamped system so R = 0.
 

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jaus tail said:
And for 3rd question, should R be 0, else circuit is damped
No. Transient (damped) oscillations are also oscillations.
 
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Two for the price of one ? What is the complex impedance ##Z## in exercise 2 ?
 
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z = v / i = 200 sin (2000t +50) / 4 cos (2000t + 11.32)
= 50 sin (2000t + 50) / sin (2000t + 11.32 + 90) = 50 sin (2000t + 50) / sin (2000t + 101.32)
For this to be resistance the phase angle must be zero which doesn't happen. So I think D cannot be right answer. Resistance cannot vary with time so the sine term must be a constant and not a time variant.
 
I agree there must be something wrong with the book answer for exercise 2.
 
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