Question

Find an application in your major field that leads to a

sinusoidal graph. Write a paper about your findings.

Short answer

The alternating current in the field of electricity and magnetism follows sinusoidal function given by

$v\left(t\right)=v_{peak}Sin\left(\omega t\right)$

Step-by-step solution

Step 1. Given

A sinusoidal function.

Step 2. Calculation

Consider $v_t$as the voltage then

$$\begin{gathered} v\left(t\right)=v_{peak}\sin \left(\omega t\right) \\ {v}_{peak=theamplitude} \\ \omega =angularfrequency \\ theangularfrequencycanberelatedwithfrequencyas, \\ \omega =2\mathrm{\pi f} \\ \mathrm{considerable}\mathrm{value}\mathrm{of}\mathrm{f}\mathrm{is}20\mathrm{hz} \\ \mathrm{tthus}, \\ \mathrm{\omega }=100\mathrm{\pi } \\ \mathrm{Also}\mathrm{peak}\mathrm{voltage}\mathrm{is}230\mathrm{volt} \\ \mathrm{thus} \\ {\mathrm{v}}_{\mathrm{t}}=230\sin \left(100\mathrm{\pi t}\right) \end{gathered}$$