An inductor, L = 75mH is

Question

connected in series to a source of
alternating emf of rms value 250V
and frequency 50Hz. What is the
rms value of the current? A. 21.22A
B. 1.69A
C. 10.46A
D. 5.31A
E. 26.53A

Answer 1

The rms value of the current in an inductor can be found using the formula:

I = V/Z

Where:
I is the current
V is the voltage
Z is the impedance, given by Z = ωL, where ω is the angular frequency and L is the inductance.

The angular frequency can be calculated using ω = 2πf, where f is the frequency.

Substituting the given values:

ω = 2π(50 Hz) = 100π rad/s
L = 75 mH = 75 × 10^-3 H

Z = (100π rad/s)(75 × 10^-3 H) = 7.5π Ω

Now we can calculate the current using:

I = V/Z = (250V)/(7.5π Ω)

I ≈ 10.46 A

Therefore, the answer is C. 10.46 A.