Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7. what is the formula for inductive reactance? a $\frac{1}{2 pi f l}$ …

Question

  1. what is the formula for inductive reactance?

a $\frac{1}{2 pi f l}$
b $\frac{1}{f l}$
c $2 pi f l$
d $f l$

Explanation:

Brief Explanations

Inductive reactance \( X_L \) is calculated using the formula \( X_L = 2\pi fL \), where \( f \) is the frequency and \( L \) is the inductance. Option a is the formula for capacitive reactance (\( X_C=\frac{1}{2\pi fC}\), similar form if \( C = L \) but conceptually wrong here). Option b is an incorrect simplification. Option d misses the \( 2\pi \) factor which comes from the angular - frequency relationship (\(\omega = 2\pi f\) and \(X_L=\omega L\)).

Answer:

C. \(2\pi fL\)