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Unformatted text preview: - The response of a network has two parts: the forced response and the natural response.- In most circuits, the natural response decays rapidly to zero.- The forced response for sinusoidal sources persists indefinitely and, therefore, is called the steady-state response Sinusoidal Currents and Voltages- Given by: v(t) = V m cos( t + )- V m : the peak value of the voltage- : the angular frequency (radians per second)- : phase angle- T = 2 - T : period (time it takes for one cycle to be completed)- Frequency (number of cycles completed in one second): f = 1/T-Units: hertz (Hz) or inverse seconds (s-1 )- sin(z) = cos(z - 90 )- Root-mean-square (rms) value of the periodic voltage v(t) is defined by:- V rms = sqrt(1/T (intr 0 => T) v 2 (t)dt)- P avg = V 2 rms /R- The rms value is also called the effective value- I rms = sqrt(1/T (intr 0 => T) i 2 (t)dt)- P avg = I 2 rms R- V rms = V m / sqrt(2) Phasors- Phasors: vectors that represent currents and voltages in the complex-number plane- For a sinusoidal voltage of the form:...
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This note was uploaded on 02/20/2012 for the course ECE 083 taught by Professor Best during the Spring '08 term at Lehigh University .
- Spring '08