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Multiple Choice

Inductive reactance increases with which factor in an AC circuit?

Inductive reactance grows as the current changes more rapidly, which happens when the frequency of the AC source increases. The relationship is X_L = 2πfL, so for a constant inductance, doubling the frequency doubles the inductive reactance. Physically, a faster-changing current produces a larger opposing emf in the inductor, making it harder for the current to change. Voltage amplitude or the resistor value don’t set this effect, and capacitance affects capacitive reactance (X_C = 1/(2πfC)), not inductive reactance.

Inductive reactance grows as the current changes more rapidly, which happens when the frequency of the AC source increases. The relationship is X_L = 2πfL, so for a constant inductance, doubling the frequency doubles the inductive reactance. Physically, a faster-changing current produces a larger opposing emf in the inductor, making it harder for the current to change. Voltage amplitude or the resistor value don’t set this effect, and capacitance affects capacitive reactance (X_C = 1/(2πfC)), not inductive reactance.