This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here are the solutions to the problems: 1) Capacitive Reactance Step 1: Identify the given values and the formula for capacitive reactance. Given: Capacitance C = 10 mF = 10 × 10^-3 F, Frequency f = 60 Hz. The formula for capacitive reactance (X_C) is: X_C = (1)/(2 f C) Step 2: Substitute the values and calculate X_C. X_C = (1)/(2 (60 Hz)) (10 × 10^-3 F) X_C = (1)/(1.2) X_C ≈ (1)/(3.7699) X_C ≈ 0.265 2) Inductive Reactance Step 1: Identify the given values and the formula for inductive reactance. Given: Inductance L = 2 H, Frequency f = 60 Hz. The formula for inductive reactance (X_L) is: X_L = 2 f L Step 2: Substitute the values and calculate X_L. X_L = 2 (60 Hz) (2 H) X_L = 240 X_L ≈ 753.98 3) Resonance Frequency Step 1: Identify the given values and the formula for resonance frequency. Given: Inductance $L = 200 mH = 200 ×