Final answer:
The power factor of a combination of an inductor and capacitor connected in parallel can be calculated using the formula: Power Factor = R / Z. The impedance can be calculated using the formula Z = sqrt((R^2) + ((X_L - X_C)^2)).
Step-by-step explanation:
The power factor of a combination of an inductor and capacitor connected in parallel can be calculated using the formula:
Power Factor = R / Z
Where R is the resistance of the inductor, and Z is the impedance of the combination. The impedance can be calculated as:
Z = sqrt((R^2) + ((X_L - X_C)^2))
Where X_L is the inductive reactance and X_C is the capacitive reactance. In this case, X_L = 2πfL and X_C = 1 / (2πfC), where f is the frequency in hertz, L is the inductance in henries, and C is the capacitance in farads.
Substituting the given values into the formulas, we can calculate the power factor of the combination.