Question

The reactance of a capacitor is 70 at a frequency of 75 Hz Part A What is its capacitance? Express your answer using two significant figure

Answer 1

To calculate the capacitance of a capacitor, we can use the formula:

C = 1 / (2πfXc)

where C is the capacitance, f is the frequency, and Xc is the reactance of the capacitor.

Given:

Frequency (f) = 75 Hz

Reactance (Xc) = 70 Ω

C = 1 / (2π * 75 * 70)

C ≈ 1 / (2 * 3.14159 * 75 * 70)

C ≈ 1 / 13194.7143

C ≈ 7.58 × 10^(-5) F

Rounding to two significant figures, the capacitance of the capacitor is approximately 7.6 × 10^(-5) F.