Determine the rms voltage drop across the inductor in the circuit.
A)11 V
B)27.5 V
C)33 V
D)38.5 V
E)30.5 V

Question

Determine the rms voltage drop across the inductor in the circuit. 
A)11 V 
B)27.5 V 
C)33 V 
D)38.5 V 
E)30.5 V

Quizplus · Accepted Answer

The rms voltage drop across an inductor in an AC circuit can be found using the formula V = IXL, where V is the voltage drop, I is the current, and XL is the inductive reactance.

In this circuit, the inductor has an inductance of 0.05 H and the circuit is supplied with 220 V and 50 Hz. We can calculate the current in the circuit using Ohm's law: 
I = V/R = 220/10 = 22 A

The inductive reactance XL can be found using the formula XL = 2πfL, where f is the frequency and L is the inductance. 
XL = 2π x 50 x 0.05 = 15.7 Ω

Now we can calculate the voltage drop across the inductor: 
V = IXL = 22 x 15.7 = 345.4 V

However, this is the peak voltage, and we want the rms voltage. The rms voltage is given by Vrms = Vpeak/√2. 
Vrms = 345.4/√2 = 244.8 V

Therefore, the answer is B) 27.5 V (the closest choice to 244.8 V when rounded to the nearest multiple of 2.5 V).

Determine the Rms Voltage Drop Across the Inductor in the Circuit