What is the total reactance of a series AC...

Question 1 / 27070Y95VDIt4o7WKiJdZxMLj

Question 1 of 27070Y95VDIt4o7WKiJdZxMLj

What is the total reactance of a series AC circuit, with no resistance and equal inductance and capacitive reactances?

Question 1 of 27070

What is the total reactance of a series AC circuit, with no resistance and equal inductance and capacitive reactances?

🔍 Key Concepts

• Series RLC circuit behavior when R = 0 • Vector (phasor) nature of inductive reactance (XL) and capacitive reactance (XC) • Definition of resonant frequency in terms of XL and XC

💭 Think About

• In a purely reactive series circuit (no resistance), how do XL and XC combine when they are equal in magnitude but opposite in sign? • At resonance, what does it mean for the total reactance of the circuit, and what does that imply (or not imply) about resistance? • Is it correct to conclude the impedance is purely resistive when there is actually no resistor in the circuit?

✅ Before You Answer

• Be clear that reactance (XL, XC) is different from resistance (R) and from impedance (Z), which can include both • Verify what happens to total reactance when XL = XC in series: do they add, subtract, or form some other relationship? • Check whether saying "purely resistive" makes sense in a circuit where R is explicitly zero

Question 1 of 27070

What is the total reactance of a series AC circuit, with no resistance and equal inductance and capacitive reactances?

The two reactances cancel being equal and opposite

Net impedance is purely resistive and contains no reactive component

The total reactance is zero at the resonant frequency

All of the above

Question 1 / 27070Y95VDIt4o7WKiJdZxMLj

Question 1 of 27070Y95VDIt4o7WKiJdZxMLj

What is the total reactance of a series AC circuit, with no resistance and equal inductance and capacitive reactances?

Back

Question 1 of 27070

What is the total reactance of a series AC circuit, with no resistance and equal inductance and capacitive reactances?