How to calculate the impedance of a capacitor?

Understand the Problem

The question is asking for the method to calculate the impedance of a capacitor, which involves understanding the relationship between capacitance, frequency, and impedance in the context of electrical circuits.

Answer

Z_C = 1/(jωC)

The impedance of a capacitor is calculated using the formula Z_C = 1/(jωC), where ω = 2πf, f is the frequency, and C is the capacitance.

Answer for screen readers

The impedance of a capacitor is calculated using the formula Z_C = 1/(jωC), where ω = 2πf, f is the frequency, and C is the capacitance.

More Information

The impedance of a capacitor is frequency-dependent, meaning it changes with the AC signal's frequency. It’s important in AC circuit analysis and design.

Tips

A common mistake is forgetting to include the imaginary unit j in the calculation, which is crucial for accurate results in AC circuits.

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