If the length of a wire is halved and the...

Question 1 / 270705eccefa3bacbc34ba4d47eaa

Question 1 of 270705eccefa3bacbc34ba4d47eaa

If the length of a wire is halved and the cross-sectional area is doubled, what will be the resistance of the wire as compared to the original wire?

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Question 1 of 27070

If the length of a wire is halved and the cross-sectional area is doubled, what will be the resistance of the wire as compared to the original wire?

🔍 Key Concepts

• Relationship between resistance, length, and cross-sectional area of a conductor • How changing length and area together affects overall resistance • Proportionality: what happens when one variable is halved and another is doubled

💭 Think About

• Write the basic formula for resistance in terms of resistivity, length, and cross-sectional area, then see how each change (length and area) affects it • Treat the original resistance as R. Express the new resistance in terms of R using the changes given • Carefully combine both changes (length and area) rather than thinking about them separately

✅ Before You Answer

• Use the correct resistance formula and identify which quantities are changing and which stay constant (like resistivity and material • Check whether resistance is directly or inversely proportional to length and area • After substituting the new length and new area, simplify step-by-step and compare the final expression to the original resistance R

Question 1 of 27070

If the length of a wire is halved and the cross-sectional area is doubled, what will be the resistance of the wire as compared to the original wire?

quartered

unchanged

doubled

quadrupled