Compared to the original wire, what will be...

Compared to the original wire, what will be...

Question 1 of 270705eccefa3bacbc34ba4d47ea9

Compared to the original wire, what will be the resistance of a replacement wire having twice the length and one-half the cross-sectional area of the original?

Question 1 of 27070

Q

Compared to the original wire, what will be the resistance of a replacement wire having twice the length and one-half the cross-sectional area of the original?

🔍 Key Concepts

• Resistance formula for a conductor in terms of length and cross‑sectional area • How changing length affects resistance when all else is constant • How changing area affects resistance when all else is constant

💭 Think About

• Write the relationship between resistance, length, and area, then treat each change (length and area) one at a time to see its effect • Think in terms of multipliers: how many times larger or smaller does the resistance become from each change, then combine those multipliers • Ask yourself whether making a wire longer and thinner makes it easier or harder for current to flow

✅ Before You Answer

• Verify that resistance is directly proportional to length • Verify that resistance is inversely proportional to cross‑sectional area • After applying both changes, multiply the effects to see the overall factor change in resistance before picking a choice