Find the inductive reactance, capacitive reactance, and impedance. Analyze Follo

Question

Find the inductive reactance, capacitive reactance, and impedance. Analyze Follow discussion of Equation (33.10) in the textbook to find the inductive reactance: X_L = omega L = 2 pi f L Substitute the given values: X_L = omega L = 2 pi(60 Hz)(1.41 H) = 531.56 ohm The capacitive reactance is equal to: X_C = 1/omega C = 1/2 pi f C Substitute the given values: X_C 1/(2 pi)(60 HZ)(143 mu F) = 1854 ohm The impedance is: Z = squareroot R^2 + (X_L - X_C)^2 Substitute the given values: Z = squareroot (1.81 ohm)^2 + (X_L - X_C)^2 = ohm

Explanation / Answer

XL = 2*pi*f*L

= 2*pi*60*1.41

= 531.56 ohms

XC = 1/(2*pi*f*C)

= 1/(2*pi*60*143*10^-6)

= 18.55 ohms

impedance, z = sqrt(R^2 + (XL - XC)^2)

= sqrt(1.81^2 + (531.56 - 18.55)^2)

= 513.0 ohms

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