How to Calculate Ohms to Microfarads

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In a high school or college electronics class, a very typical activity when studying alternating-current circuits is to determine the ohm equivalents of farads in capacitors. Capacitive reactance is the relationship between a capacitor's ability to either induct or capacitate the flow of electricity in an alternating-current circuit. You can easily convert between farads and ohms of a capacitor by using a convenient formula.

    Plug your known values into the equation for capacitive reactance. Use the formula Xc = 1/(2πfC), where Xc will be the value in ohms, π is pi (3.14), f is the frequency in the circuit, and C is the value of the capacitor in farads. For example, If you wanted to find out the value of a capacitor that had a capacitive reactance of 100 ohms, in a circuit with 1000Hz, your equation would look like this: 100 = 1/(2 x π x 1000 x C).

    Swap Xc and C in the equation, as you are looking for the value of the capacitor in farads, from the value in ohms. Using the example above, the equation will now look like this: C = 1/(2 x π x 1000 x 100).

    Enter all your values into a calculator, remembering to use brackets where needed. Using the example above, you would get a result of 0.0000015915, or 1.59 microfarad.

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About the Author

Brandy Alexander began writing professionally in 1993. She has years of experience as a professional of the English language employed with the "Cape Times" and "The Mercury." Alexander holds a master's degree in English literature from Stellenbosch University in South Africa.

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