91Ó°ÊÓ

Magnetic or electromagnetic induction is the process of producing an electromotive force across an electrical conductor in a shifting magnetic field. Michael Faraday discovered induction in\({\rm{1831}}\), which James Clerk Maxwell formally defined as Faraday's law of induction.

The reactance of the capacitor is evaluated using the formula:

\({X_C}{\rm{ }} = {\rm{ }}2\pi fC\)

Knowing the reactance, we then can simply apply the Ohm's law to evaluate the intensity as:

\(\begin{aligned} I{\rm{ }} &= {\rm{ }}\frac{U}{{{X_C}}}\\ &= {\rm{ }}2\pi UCf\end{aligned}\)

\(\begin{aligned} I{\rm{ }} &= {\rm{ }}2\pi {\rm{ }} \times {\rm{ }}480{\rm{ }} \times {\rm{ }}2.5{\rm{ }} \times {\rm{ }}{10^{ - 7}}{\rm{ }} \times {\rm{ }}60\\ &= {\rm{ }}45.2{\rm{ }}mA\end{aligned}\)

Therefore, the current is: \(45.2{\rm{ }}mA\).

\(\begin{aligned} I{\rm{ }} &= {\rm{ }}2\pi {\rm{ }} \times {\rm{ }}480{\rm{ }} \times {\rm{ }}2.5{\rm{ }} \times {\rm{ }}{10^{ - 7}}{\rm{ }} \times {\rm{ }}2.5{\rm{ }} \times {\rm{ }}{10^3}\\ &= {\rm{ }}18.9{\rm{ }}A\end{aligned}\)

Therefore, the current is: \(18.9{\rm{ }}A\).