In an AC circuit, if the frequency is 60Hz and the inductance is 0.2H, what is t
Practice Questions
Q1
In an AC circuit, if the frequency is 60Hz and the inductance is 0.2H, what is the inductive reactance? (2021)
12.56Ω
37.68Ω
75.36Ω
100Ω
Questions & Step-by-Step Solutions
In an AC circuit, if the frequency is 60Hz and the inductance is 0.2H, what is the inductive reactance? (2021)
Step 1: Identify the formula for inductive reactance, which is XL = 2πfL.
Step 2: Identify the values given in the problem: frequency (f) = 60Hz and inductance (L) = 0.2H.
Step 3: Substitute the values into the formula: XL = 2π(60)(0.2).
Step 4: Calculate the product of 60 and 0.2, which is 12.
Step 5: Multiply 12 by 2π (approximately 6.2832), which gives you about 75.36.
Step 6: Conclude that the inductive reactance (XL) is approximately 75.36Ω.
Inductive Reactance – Inductive reactance (XL) is the opposition that an inductor presents to alternating current (AC) due to its inductance and the frequency of the AC signal.
Formula Application – The question tests the ability to apply the formula for inductive reactance, XL = 2πfL, where f is the frequency and L is the inductance.
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