The voltage could be described as: `V = 240\ sin\ 2π(50)t`.

The period of the voltage is `(2pi)/b =(2pi)/(2pi(50))=1/50 = 0.02\ "seconds".`

We saw the graph of this in the Introduction to this chapter.

NOTE 1:

`240\ "V"` is actually the root-mean-square (RMS) value of the voltage. The peak voltage value is `sqrt(2)=1.414` times this value, or about `340\ "V"`. We'll learn more about this concept later in RMS as a calculus application.

NOTE 2:

The UK now follows the EU standard and household voltage is actually rated `230\ "V"`.

Get the Daily Math Tweet!
IntMath on Twitter