Question

the current through a 14-mh inductor is 4 sin 100t a. note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. problem 06.037.a - voltage across an inductor find the voltage v(t). the voltage is ___ cos 100t v.

Answer 1

The voltage across an inductor in an AC circuit can be found by multiplying the current through the inductor by its reactance.

Step-by-step explanation:

The voltage across an inductor in an AC circuit can be found by multiplying the current through the inductor by its reactance. In this case, the reactance of the inductor is given by the formula XL = 2πfL, where f is the frequency and L is the inductance. The voltage v(t) across the inductor can then be calculated using the formula v(t) = i(t) * XL, where i(t) is the current through the inductor.

In this case, the current through the inductor is given by i(t) = 4 sin(100t) A. The reactance of the inductor can be calculated using the formula XL = 2πfL. Since the frequency is 100 Hz and the inductance is 14 mH (or 0.014 H), the reactance is XL = 2π * 100 * 0.014. Finally, the voltage across the inductor can be calculated using the formula v(t) = i(t) * XL, which gives v(t) = 4 sin(100t) * 2π * 100 * 0.014 * cos(100t) V.

In this case, the reactance of the inductor is calculated using the formula XL = 2πfL, where f is the frequency and L is the inductance. The voltage v(t) across the inductor can then be calculated using the formula v(t) = i(t) * XL, where i(t) is the current through the inductor.