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BASIC CONCEPTS

Learn about continuous and discontinuous waveforms, sinusoids, radians and degrees, trigonometry, phase shifts, impulse functions, and effective/RMS values of periodic signals.

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BASIC CONCEPTS

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  1. BASIC CONCEPTS • Signal Waveforms

  2. Continuous/Discontinuous

  3. SINUSOIDS As function of time Adimensional plot

  4. RADIANS AND DEGREES BASIC TRIGONOMETRY

  5. Example Lags by 315 Leads by 45 degrees Leads by 225 or lags by 135

  6. Example Frequency in radians per second is the factor of the time variable To find phase angle we must express both sinusoids using the same trigonometric function; either sine or cosine with positive amplitude We like to have the phase shifts less than 180 in absolute value

  7. Unit step Using square pulses to approximate an arbitrary function Using the unit step to build a pulse function Pulse width = T, Pulse height = 1

  8. Approximations to the impulse Height is proportional to area Representation of the impulse (Good model for impact, lightning, and other well known phenomena) THE IMPULSE FUNCTION

  9. Periodic Functions Square Waveforms Triangle Wavefrom Sawtooth Waveform

  10. If the current is sinusoidal the average power is known to be EFFECTIVE OR RMS VALUES The effective value is the equivalent DC value that supplies the same average power Definition is valid for ANY periodic signal with period T

  11. One period The two integrals have the same value Compute the rms value of the voltage waveform EXAMPLE

  12. Compute the rms value of the voltage waveform and use it todetermine the average power supplied to the resistor EXAMPLE

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