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This is the capacitive reactance calculator – a great tool that helps you estimate the so-called resistance of a capacitor in an electric circuit. You can find the capacitive reactance formula in the text below, and we explain why the reactance occurs for alternating current but not direct current.
Capacitive Reactance is the complex impedance value of a capacitor which limits the flow of electric current through it. Capacitive reactance can be thought of as a variable resistance inside a capacitor being controlled by the applied frequency.
Capacitive reactance can be given by the formula X C = 1/2?fC. Inductive reactance can be given by the formula X L = 2?fL. Capacitive reactance decreases with increase in frequency.
\[X_C = \dfrac{1}{2\pi fC},\] where \(X_C\) is called the capacitive reactance, because the capacitor reacts to impede the current. \(X_C\) has units of ohms (verification left as an exercise for the reader).
We can quickly obtain the capacitive reactance of a capacitor with the capacitive reactance formula: where: X X is the capacitive reactance, in ohms. Alternatively, we can use the angular frequency \omega ω: As you can see, increasing the frequency will decrease the capacitive reactance.
Mathematically, capacitive reactance (Xc) is defined as the opposition offered by a capacitor to the flow of alternating current (AC). It is inversely proportional to the product of the angular frequency (ω) of the AC signal and the capacitance (C) of the capacitor. Xc = 1 / (ω * C).
The measure of the opposition to alternating current by the capacitor is called Capacitive Reactance. The unit of Capacitive Reactance is Ohms like resistance. The symbol of Capacitive Reactance is X C .
Calculate inductive and capacitive reactance. Calculate current and/or voltage in simple inductive, capacitive, and resistive circuits. Many circuits also contain capacitors and inductors, in addition to resistors and an AC voltage source.
CAPACITIVE REACTANCE. As stated earlier, this changing opposition of a capacitor is called capacitive reactance and is inversely related to the source frequency. Equation for X C. Capacitive reactance is measured in ohms of reactance like resistance, and depends on the frequency of the applied voltage and the value of the capacitor.
Its mathematical formula is equal to unity divided by twice the product of pi, frequency and the capacitance of a capacitor. Capacitive Reactance Formula. X c = 1/2πfc. where, X C is the capacitive reactance, π is a constant with the value of 3.14, f is the frequency, c is the capacitance. Sample Problems. Problem 1.