Question

1. as ( x _ { l } ) increases, a circuit becomes more

a capacitive
b resistive
c inductive
d resistive and inductive

Explanation:

• \(X_{L}\) is the inductive reactance. Inductive reactance \(X_{L}=2\pi fL\), where \(f\) is the frequency and \(L\) is the inductance.
• When \(X_{L}\) increases, the influence of the inductor in the circuit becomes more dominant. A circuit is said to be inductive when the inductive reactance has a significant effect on the overall circuit behavior.
• Capacitive circuits are dominated by capacitive reactance \(X_{C}=\frac{1}{2\pi fC}\). Resistive circuits are dominated by resistance \(R\) which is independent of frequency (for ohmic resistors). Since the question is about \(X_{L}\) (inductive reactance), options related to capacitive (a) and just resistive (b) are incorrect. Option (d) is also incorrect as an increase in \(X_{L}\) alone does not imply a combined dominance of resistive and inductive in the sense of "more" (the question is about the characteristic emphasized by the increase of \(X_{L}\), not a combination in an unqualified way).

Answer:

C. inductive