What is the reactance of an inductor at a frequency of 50 Hz if the inductance i

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Question: What is the reactance of an inductor at a frequency of 50 Hz if the inductance is 0.1 H? (2023)

Options:

Correct Answer: 31.4 Ω

Exam Year: 2023

Solution:

Reactance (X_L) = 2πfL = 2π(50)(0.1) = 31.4 Ω.

What is the reactance of an inductor at a frequency of 50 Hz if the inductance is 0.1 H? (2023)

What is the reactance of an inductor at a frequency of 50 Hz if the inductance is 0.1 H? (2023)

Step 1: Identify the formula for reactance of an inductor, which is X_L = 2πfL.
Step 2: Determine the values needed for the formula: frequency (f) is 50 Hz and inductance (L) is 0.1 H.
Step 3: Substitute the values into the formula: X_L = 2π(50)(0.1).
Step 4: Calculate the multiplication inside the parentheses: 50 * 0.1 = 5.
Step 5: Now substitute back into the formula: X_L = 2π(5).
Step 6: Calculate 2π * 5. Use the value of π (approximately 3.14): 2 * 3.14 * 5 = 31.4.
Step 7: Conclude that the reactance of the inductor at 50 Hz is 31.4 Ω.

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