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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 steadystate 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/TUnits: hertz (Hz) or inverse seconds (s1 ) sin(z) = cos(z  90 ) Rootmeansquare (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 complexnumber 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
 BEST

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