Frequency

Written by Jerry Ratzlaff on . Posted in Electrical Engineering

Frequency, abbreviated as f or FREQ, is the number of times an alternating current reverses itself in one second.  Expressed in Hertz (Hz), which is one cycle per second.

Frequency Probability, is the rate of occurrence.

 

Frequency formulas

\(\large{ f =   \frac { 1 } { T  } }\)   
\(\large{ f = \frac { N_c } { t  }   }\)   
\(\large{ f = \frac{v_w}{ \lambda }   }\)   
\(\large{ f = \frac{c}{ \lambda }   }\)  
\(\large{ f = \frac{\omega}{ 2 \; \pi }   }\)  

Where:

 Units English Metric
\(\large{ f }\) = frequency \(\large{Hz}\) \(\large{Hz}\)
\(\large{ \omega }\)  (Greek symbol omega) = angular frequency \(\large{\frac{deg}{sec}}\) \(\large{\frac{rad}{s}}\)
\(\large{ N_c }\) = number of cycles - -
\(\large{ \pi }\) = Pi \(\large{3.141 592 653 ...}\)
\(\large{ c }\) = speed of light \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{sec}}\)
\(\large{ t }\) = time \(\large{sec}\) \(\large{s}\)
\(\large{ T }\) = time period, the time required for one cycle or wave occillation \(\large{sec}\) \(\large{s}\)
\(\large{ \lambda }\)  (Greek symbol \lambda) = wavelength \(\large{ft}\) \(\large{m}\)
\(\large{ v_w }\) = wavelength velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{sec}}\)

Solve For:

\(\large{ T = \frac{ 1 }{ f }    }\)   

 

Frequency Probability formulas

\(\large{ f_x =   \frac { n_x } { n  } }\)   
\(\large{ P_x = \frac { f_x } { f_a  }   }\)   

Where:

\(\large{ f_x }\) = relative frequency of outcome x

\(\large{ P_x }\) = probability of outcome x

\(\large{ f_a }\) = frequency of all events

\(\large{ n_x }\) = number of events with outcome x

\(\large{ n }\) = total number of events

 

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Tags: Equations for Electrical Equations for Current