What is the total impedance of a parallel...

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Question 1 of 20p7WNax1A41SfrClYsQya

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

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Question 1 of 20

p7WNax1A41SfrClYsQya

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

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🔍 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

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Question 1 of 20p7WNax1A41SfrClYsQya

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

Back

Question 1 of 20

p7WNax1A41SfrClYsQya

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

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

💭 Think About

✅ Before You Answer

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

Quick actions

— No credit card needed