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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 choices

  • 48.23 Ω
  • 20.72 Ω
  • 0.0207 Ω
  • 48253 Ω
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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.

This problem has been solved

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