What is the capacitive reactance (XC) of a 3.3 μF capacitor operating at 1 kHz? Group of answer choices48.23 Ω20.72 Ω0.0207 Ω48253 Ω
Question
What is the capacitive reactance (XC) of a 3.3 μF capacitor operating at 1 kHz? Group of answer choices48.23 Ω20.72 Ω0.0207 Ω48253 Ω
Solution
The capacitive reactance (XC) can be calculated using the formula:
XC = 1 / (2πfC)
where:
- f is the frequency (in Hz), and
- C is the capacitance (in Farads).
Given that f = 1 kHz = 1000 Hz and C = 3.3 μF = 3.3 x 10^-6 F, we can substitute these values into the formula:
XC = 1 / (2π * 1000 * 3.3 x 10^-6)
Solving this equation gives us:
XC ≈ 48.23 Ω
So, the capacitive reactance of a 3.3 μF capacitor operating at 1 kHz is approximately 48.23 Ω.
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