- #1
richardstan
- 13
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Hi, if you have a capacitor and inductor in series connected to an Alternating Supply, do their reactances add up?
Thanks
Richard.
Thanks
Richard.
[tex] = i\omega L - \frac{i}{\omega C} [/tex]Phrak said:[tex]Z= i\omega L + \frac{1}{i\omega C} [/tex]
The purpose of connecting a capacitor and an inductor in series is to create a resonant circuit, which can store and release energy at a specific frequency. This can be useful in applications such as filtering, tuning, and oscillation in electronic circuits.
The impedance of a series capacitor and inductor circuit is inversely proportional to frequency. This means that as frequency increases, the impedance decreases, and vice versa. At the resonant frequency, the impedance is at its minimum value, allowing for maximum energy transfer.
Yes, a series capacitor and inductor circuit can act as a high pass filter. At low frequencies, the capacitor has a higher impedance, blocking the flow of current. As the frequency increases, the impedance of the inductor decreases, allowing for current to flow through. This creates a high pass filter effect.
At resonance, the voltage and current in a series capacitor and inductor circuit are at their maximum values. This is because the impedance of both components is at its minimum, allowing for maximum energy transfer. The voltage and current are in phase with each other, meaning they reach their peaks and troughs at the same time.
The capacitance and inductance values for a series capacitor and inductor circuit are chosen based on the desired resonant frequency. The formula for calculating the resonant frequency is f = 1/2π√(LC), where f is the frequency in hertz, L is the inductance in henrys, and C is the capacitance in farads. By manipulating this formula, the appropriate values for L and C can be determined.