In an ac circuit, a 0.025 H inductor is connected to a generator that has an rms voltage of 25 V and operates

Question

at 50.0 Hz. what is the rms current throgh the inducator

Answer 1

The inductive reactance (X) is found by the formula:

X = 2πfL, where f is the frequency and L is the inductance in henries.

Thus the reactance X equals 6.283 * 50 * 0.025 = 7.854 reactive ohms

The rms current is found by dividing the rms voltage by the reactance

so it equals 25/7.854 or 3.183 amperes.

(This answer assumes a pure inductive circuit.)

Answer 2

Irms = Vrms / XL = Vrms / ωL = Vrms / 2πfL

= 25.0 V / (2π x 50.0 Hz x 0.025 H)

= 25.0 V / (314 rad/s x 0.025 H)

= 25.0 V / 7.85 Ω

= 3.18 A