What is the total impedance of a parallel...

Question 1 / 27070p7WNax1A41SfrClYsQya

Question 1 of 27070p7WNax1A41SfrClYsQya

What is the total impedance of a parallel capacitor and inductor with equal values of reactance?

Question 1 of 27070

What is the total impedance of a parallel capacitor and inductor with equal values of reactance?

🔍 Key Concepts

• Reactance of an inductor (XL) vs reactance of a capacitor (XC) and their signs in AC circuits • How parallel combinations of impedances combine (in terms of admittance, or 1/Z) • What happens when XL and XC are equal in magnitude but opposite in sign

💭 Think About

• Write the impedance of the inductor and the capacitor separately (as jXL and -jXC). What are their corresponding admittances (1/Z)? • If the magnitudes of XL and XC are equal, what happens when you add their admittances in parallel? Does the sum become very large, zero, or something else? • Think about resonance: for equal inductive and capacitive reactance, is the circuit behaving more like a short circuit, an open circuit, or something in between at that frequency?

✅ Before You Answer

• Confirm the sign convention for inductive (+jXL) and capacitive (-jXC) reactance in complex form • Check whether parallel elements add as impedances or as admittances (1/Z) • Verify whether the resulting total impedance is purely reactive or has any resistive component in the ideal case

Question 1 of 27070

What is the total impedance of a parallel capacitor and inductor with equal values of reactance?

Infinite total reactance

Zero total reactance

Parallel impedance is resistive and infinite

B & C