If the inductance of a coil is doubled, what happens to its inductive reactance
Practice Questions
Q1
If the inductance of a coil is doubled, what happens to its inductive reactance at a constant frequency? (2022)
It doubles
It halves
It remains the same
It quadruples
Questions & Step-by-Step Solutions
If the inductance of a coil is doubled, what happens to its inductive reactance at a constant frequency? (2022)
Step 1: Understand what inductive reactance (X_L) is. It is a measure of how much a coil resists the flow of alternating current (AC) due to its inductance.
Step 2: Know the formula for inductive reactance: X_L = 2πfL, where 'f' is the frequency and 'L' is the inductance.
Step 3: Identify that if the inductance (L) is doubled, we can represent this as L' = 2L.
Step 4: Substitute the new inductance into the formula: X_L' = 2πf(2L) = 2(2πfL) = 2X_L.
Step 5: Conclude that if the inductance is doubled, the inductive reactance will also double.
Inductive Reactance – Inductive reactance (X_L) is the opposition that an inductor presents to alternating current (AC) due to its inductance (L) and the frequency (f) of the AC signal.
Relationship Between Inductance and Reactance – The formula X_L = 2πfL shows that inductive reactance is directly proportional to both the inductance and the frequency.
