The reactance of a capacitor can be calculated using the formula:
Xc = 1 / (2πfC)
Where: Xc is the reactance of the capacitor π is a mathematical constant approximately equal to 3.14159 f is the frequency in hertz C is the capacitance in farads
Given: C = 500 pF = 500 * 10^(-12) F f = 40 kHz = 40 * 10^3 Hz
Plugging these values into the formula:
Xc = 1 / (2π * 40 * 10^3 * 500 * 10^(-12))
Simplifying:
Xc = 1 / (2π * 20 * 10^(-9))
Xc ≈ 7.96 kΩ
Therefore, the reactance of a 500 pF capacitor at 40 kHz is approximately 7.96 kΩ.