find the reactance of a capacitor and inductor connected in series
To find the total reactance of a capacitor and an inductor connected in series:
1. Inductor Reactance ():
Use the formula:
X_L = 2\pi f L
2. Capacitor Reactance ():
Use the formula:
X_C = \frac{1}{2\pi f C}
3. Total Reactance ():
Combine the two
X_T = X_L - X_C
Key Points:
If , the circuit behaves inductively.
If , the circuit behaves capacitively.
If , the circuit is at resonance with no reactance ().
You’ll need the frequency, inductance, and capacitance to calculate it.
To find the reactance of a capacitor and inductor connected in series, you can use the formula
Xeq=Xc+Xxl
Reactance is the opposition to alternating current (AC) caused by capacitors and inductors. It's represented by the symbol X and is measured in ohms.
Xc=1/2πfc
where f is the frequency and \(C\) is the capacitance.
XL =2 π f L
where f is the frequency and \(L\) is the inductance.
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