If the inductance of a coil is 0.5H and the frequency is 60Hz, what is the induc

If the inductance of a coil is 0.5H and the frequency is 60Hz, what is the inductive reactance? (2023)

If the inductance of a coil is 0.5H and the frequency is 60Hz, what is the inductive reactance? (2023)

Step 1: Identify the formula for inductive reactance (Xl). The formula is Xl = 2πfL.
Step 2: Identify the values given in the question. The frequency (f) is 60 Hz and the inductance (L) is 0.5 H.
Step 3: Substitute the values into the formula. Replace f with 60 and L with 0.5 in the formula: Xl = 2π × 60 × 0.5.
Step 4: Calculate the multiplication inside the formula. First, calculate 60 × 0.5 = 30.
Step 5: Now, calculate 2π × 30. Use the value of π (approximately 3.14): 2 × 3.14 × 30 = 188.4.
Step 6: The final result is Xl = 188.4 ohms.

Inductive Reactance – Inductive reactance (Xl) is the opposition that an inductor offers to the flow of alternating current (AC) due to its inductance and the frequency of the AC signal.
Formula Application – The formula for calculating inductive reactance is Xl = 2πfL, where f is the frequency in hertz and L is the inductance in henries.