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Capacitive reactance is a measurement of how much the capacitive element will impede

Question

Capacitive reactance is a measurement of how much the capacitive element will impede

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Solution

Capacitive reactance (Xc) is a measure of a capacitor's opposition to alternating current (AC). It is inversely proportional to the frequency of the AC signal and the capacitance of the capacitor.

The formula for capacitive reactance is:

Xc = 1 / (2πfC)

where:

  • Xc is the capacitive reactance,
  • f is the frequency of the AC signal, and
  • C is the capacitance.

Here are the steps to calculate capacitive reactance:

  1. Identify the frequency (f) of the AC signal. This is usually given in hertz (Hz).

  2. Identify the capacitance (C) of the capacitor. This is usually given in farads (F).

  3. Substitute these values into the formula and calculate the result.

For example, if the frequency is 60 Hz and the capacitance is 0.001 farads (or 1 millifarad), the capacitive reactance would be:

Xc = 1 / (2π * 60 Hz * 0.001 F) = approximately 2653 ohms.

This means that the capacitor will impede the AC signal by 2653 ohms at a frequency of 60 Hz.

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