Question

A coil with an inductance of 100 mH and zero resistance is connected to a 50 V, 50 Hz supply. What will be the current flowing through it?

a) 31.4 A
b) 16 A
c) 1.6 A
d) 0.5 A

Answer 1

The current flowing through a coil with 100 mH inductance connected to a 50 V, 50 Hz supply is calculated to be 1.6 A using the formula for inductive reactance and Ohm's law.

Step-by-step explanation:

The current flowing through a coil with an inductance of 100 mH connected to a 50 V, 50 Hz supply can be determined by using the formula for inductive reactance (XL) which is XL = 2πfL. Here, f is the frequency and L is the inductance of the coil. Once the inductive reactance is found, Ohm's law (V = IXL) can be used to find the current, I.

First, calculate the inductive reactance:

XL = 2π(50 Hz)(0.100 H) = 31.4 Ω

Now, using Ohm's Law to find the current, I, where V is the voltage:

I = V / XL = 50 V / 31.4 Ω = 1.6 A

Therefore, the current flowing through the coil is 1.6 A.