What turns ratio does a transformer need to...

Question 1 / 270708xxHJSIcr0rZkuqRpXXN

Question 1 of 270708xxHJSIcr0rZkuqRpXXN

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

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Question 1 of 27070

Q

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

🔍 Key Concepts

• Impedance matching using a transformer • Relationship between turns ratio and impedance ratio • Using the formula that links primary/secondary turns to primary/secondary impedances

💭 Think About

• First, figure out the required impedance ratio between 500 ohms and 10 ohms. Is it step-up or step-down? • Recall how the square of the turns ratio relates to the impedance ratio. How do you get from impedance ratio to turns ratio? • After finding the turns ratio as a number, compare it carefully with the answer choices and consider rounding.

✅ Before You Answer

• Confirm which side (500 ohms or 10 ohms) is associated with the primary and which with the secondary for impedance matching. • Verify you’re using the correct formula: impedance ratio = (turns ratio)^2 (not the other way around). • Double-check your square root and make sure the direction of the ratio (e.g., primary:secondary) matches the wording of the choices.

Question 1 of 27070

Q

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

A

7.1 to 1

B

7 to 1

C

14 to 1

D

None of the above

Question 1 / 270708xxHJSIcr0rZkuqRpXXN

Question 1 of 270708xxHJSIcr0rZkuqRpXXN

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

Back

Question 1 of 27070

Q

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

🔍 Key Concepts

• Impedance matching using a transformer • Relationship between turns ratio and impedance ratio • Using the formula that links primary/secondary turns to primary/secondary impedances

💭 Think About

• First, figure out the required impedance ratio between 500 ohms and 10 ohms. Is it step-up or step-down? • Recall how the square of the turns ratio relates to the impedance ratio. How do you get from impedance ratio to turns ratio? • After finding the turns ratio as a number, compare it carefully with the answer choices and consider rounding.

✅ Before You Answer

• Confirm which side (500 ohms or 10 ohms) is associated with the primary and which with the secondary for impedance matching. • Verify you’re using the correct formula: impedance ratio = (turns ratio)^2 (not the other way around). • Double-check your square root and make sure the direction of the ratio (e.g., primary:secondary) matches the wording of the choices.