How to find the impedance of a capacitor?
Understand the Problem
The question is asking how to calculate the impedance of a capacitor, which typically involves using the formula for capacitive reactance, given by Xc = 1/(2πfC), where f is the frequency and C is the capacitance.
Answer
Z = -j/(ωC)
The impedance of a capacitor is given by the formula Z = -j/(ωC), where ω is the angular frequency and C is the capacitance.
Answer for screen readers
The impedance of a capacitor is given by the formula Z = -j/(ωC), where ω is the angular frequency and C is the capacitance.
More Information
The impedance of a capacitor is purely reactive, which means there is a phase difference of 90 degrees between the voltage across and the current through the capacitor.
Tips
A common mistake is forgetting to convert frequency to angular frequency, ω = 2πf.
Sources
- Capacitor Impedance Calculator - Engineering Calculators & Tools - allaboutcircuits.com
- How is the impedance of a capacitor calculated? - Quora - quora.com
- Properties of Impedance and Capacitance in a Capacitor - jakelectronics.com
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