A coil has an inductance of 0.5 H and is connected to a 50 Hz AC supply. What is
Practice Questions
Q1
A coil has an inductance of 0.5 H and is connected to a 50 Hz AC supply. What is the inductive reactance? (2020)
25.13 Ω
31.42 Ω
50 Ω
100 Ω
Questions & Step-by-Step Solutions
A coil has an inductance of 0.5 H and is connected to a 50 Hz AC supply. What is the inductive reactance? (2020)
Step 1: Identify the formula for inductive reactance, which is Xl = 2πfL.
Step 2: Identify the values needed for the formula: frequency (f) is 50 Hz and inductance (L) is 0.5 H.
Step 3: Substitute the values into the formula: Xl = 2π(50)(0.5).
Step 4: Calculate the product of 50 and 0.5, which is 25.
Step 5: Multiply 25 by 2π (approximately 6.2832), which gives you 157.08.
Step 6: The final result is that the inductive reactance Xl is approximately 31.42 Ω.
Inductive Reactance – Inductive reactance (Xl) is the opposition that an inductor presents to alternating current (AC) due to its inductance, calculated using the formula Xl = 2πfL, where f is the frequency and L is the inductance.
