What turns ratio does a transformer need in...

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Question 1 of 20XLEXNIZDX1FbuF4dbK8q

What turns ratio does a transformer need in order to match a source impedance of 500 ohms to a load of 10 ohms?

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Question 1 of 20

XLEXNIZDX1FbuF4dbK8q

What turns ratio does a transformer need in order to match a source impedance of 500 ohms to a load of 10 ohms?

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🔍 Key Concepts

• Relationship between transformer turns ratio and impedance ratio • How to express the given impedances (500 ohms and 10 ohms) as a ratio • Square vs. square root when relating impedance ratio to turns ratio

💭 Think About

• First, decide which impedance (500 or 10 ohms) should be in the numerator when forming the impedance ratio for this matching problem. • Think about whether the turns ratio equals the impedance ratio directly, or the square root of the impedance ratio. • Estimate whether the turns ratio should be a small number (close to 1), moderate, or very large by comparing how different 500 ohms and 10 ohms are.

✅ Before You Answer

• Confirm the formula: (N₁/N₂)² = Z₁/Z₂ for transformers, where N is turns and Z is impedance. • Compute the impedance ratio correctly as a single number before taking any square root. • After finding a turns ratio, check by squaring it to see if it reproduces the impedance ratio between 500 and 10 ohms.

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Question 1 of 20XLEXNIZDX1FbuF4dbK8q

What turns ratio does a transformer need in order to match a source impedance of 500 ohms to a load of 10 ohms?

Back

Question 1 of 20

XLEXNIZDX1FbuF4dbK8q

What turns ratio does a transformer need in order to match a source impedance of 500 ohms to a load of 10 ohms?

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