If the inductance of a coil is 2 H and the frequency is 50 Hz, what is the induc

If the inductance of a coil is 2 H and the frequency is 50 Hz, what is the inductive reactance?

If the inductance of a coil is 2 H and the frequency is 50 Hz, what is the inductive reactance?

Step 1: Identify the formula for inductive reactance, which is X_L = 2πfL.
Step 2: Identify the values given in the question: frequency (f) = 50 Hz and inductance (L) = 2 H.
Step 3: Substitute the values into the formula: X_L = 2π(50)(2).
Step 4: Calculate the product of 50 and 2, which is 100.
Step 5: Multiply 100 by 2π. Use the approximate value of π as 3.14 for easier calculation: 100 * 3.14 = 314.
Step 6: Multiply 314 by 2 to get 628.
Step 7: Conclude that the inductive reactance X_L is 628 Ω.

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