Question

The effective value of electric current is 50 cycle a.c circuit is 5 A . what is the value of current 1/300 second after it was zero

Answer 1

Dear Student,

$$\begin{gathered} frequency=50Hz \\ angularfrequency=2\mathrm{\pi f}=100\mathrm{\pi } \\ \mathrm{rms}\mathrm{value}\mathrm{of}\mathrm{current}\mathrm{is}5\mathrm{A} \\ \mathrm{maximum}\mathrm{value}\mathrm{of}\mathrm{current}=5\sqrt{2}\mathrm{A} \\ \mathrm{i}=5\sqrt{2}\mathrm{sin\omega t} \\ \mathrm{i}\mathrm{at}\mathrm{t}=\frac{1}{300}\sec \\ \mathrm{i}=5\sqrt{2}\sin \left(\frac{100\mathrm{\pi }}{300}\right)=5\sqrt{2}\times \frac{\sqrt{3}}{2}=\frac{5\sqrt{3}}{\sqrt{2}}\mathrm{A} \\ \mathrm{Regards} \end{gathered}$$