What is the equation for the impedance of a capacitor?

What is the equation for the impedance of a capacitor?

• A. jωL
• B. 1/jωC
• C. R + jX
• D. V/I

Answer: (B)

The equation for the impedance of a capacitor is represented as 1/jωC, where j is the imaginary unit, ω is the angular frequency, and C is the capacitance in farads. This formula arises from the relationship between the current and voltage in a capacitive circuit. When an alternating current (AC) voltage is applied across a capacitor, the capacitor stores energy in the electric field. The impedance of a capacitor indicates how much the capacitor resists the flow of AC current. In this context, the negative imaginary nature of the impedance reflects a phase shift between the current and voltage; specifically, the current leads the voltage by 90 degrees in a pure capacitive circuit. This relationship shows that as the frequency of the applied voltage increases (which increases ω), the impedance of the capacitor decreases. Consequently, for high frequencies, capacitors allow more current to pass through, while at low frequencies, they impede the current flow more. The other options represent different electrical concepts. For example, jωL represents the impedance of an inductor, while R + jX is the general formula for the total impedance in an RLC circuit, where R is the resistive part and jX represents the reactive part (which includes both capacitive

The equation for the impedance of a capacitor is represented as 1/jωC, where j is the imaginary unit, ω is the angular frequency, and C is the capacitance in farads. This formula arises from the relationship between the current and voltage in a capacitive circuit.

When an alternating current (AC) voltage is applied across a capacitor, the capacitor stores energy in the electric field. The impedance of a capacitor indicates how much the capacitor resists the flow of AC current. In this context, the negative imaginary nature of the impedance reflects a phase shift between the current and voltage; specifically, the current leads the voltage by 90 degrees in a pure capacitive circuit.

This relationship shows that as the frequency of the applied voltage increases (which increases ω), the impedance of the capacitor decreases. Consequently, for high frequencies, capacitors allow more current to pass through, while at low frequencies, they impede the current flow more.

The other options represent different electrical concepts. For example, jωL represents the impedance of an inductor, while R + jX is the general formula for the total impedance in an RLC circuit, where R is the resistive part and jX represents the reactive part (which includes both capacitive