To double the resonant frequency of a...

Question 1 / 27070AEMJBaCpXp4LXwo5d9d3

Question 1 of 27070AEMJBaCpXp4LXwo5d9d3

To double the resonant frequency of a resonant circuit:

Question 1 of 27070

To double the resonant frequency of a resonant circuit:

🔍 Key Concepts

• Resonant frequency of an LC circuit and how it depends on L (inductance) and C (capacitance) • The mathematical relationship: if frequency changes by some factor, how does the product L·C have to change? • How changing L and C together (both up or both down) affects the resonant frequency

💭 Think About

• Write the resonant frequency formula and express the new frequency in terms of the old frequency using a factor of 2. • From that formula, solve for the ratio of the new L·C product to the original L·C product. • For each choice, compute what happens to L·C and compare it to the value you found in step 2.

✅ Before You Answer

• Be sure you are using the correct formula for resonant frequency in an LC circuit and correctly identifying the role of L·C under the square root. • Carefully square or take square roots at the right steps when relating the factor-of-2 change in frequency to the change in L·C. • For each option, explicitly calculate the new L·C as a fraction of the original and check which, if any, matches the requirement you derived.

Question 1 of 27070

To double the resonant frequency of a resonant circuit:

Make C one third of its original value

Make L and C both half their original values

Decreasing the value of both L and C in any proportion so that their product will be one- half of the original values

None of the above

Question 1 / 27070AEMJBaCpXp4LXwo5d9d3

Question 1 of 27070AEMJBaCpXp4LXwo5d9d3

To double the resonant frequency of a resonant circuit:

Back

Question 1 of 27070

To double the resonant frequency of a resonant circuit: