If the length of a wire is doubled while keeping the cross-sectional area constant, how does its resistance change?
Practice Questions
1 question
Q1
If the length of a wire is doubled while keeping the cross-sectional area constant, how does its resistance change?
Remains the same
Doubles
Halves
Quadruples
Resistance is directly proportional to length; doubling the length doubles the resistance.
Questions & Step-by-step Solutions
1 item
Q
Q: If the length of a wire is doubled while keeping the cross-sectional area constant, how does its resistance change?
Solution: Resistance is directly proportional to length; doubling the length doubles the resistance.
Steps: 5
Step 1: Understand that resistance is a property of a wire that affects how easily electricity can flow through it.
Step 2: Know that resistance (R) is directly related to the length (L) of the wire. This means that if you increase the length, the resistance increases.
Step 3: If the length of the wire is doubled, it means you have a wire that is twice as long as before.
Step 4: Since resistance is directly proportional to length, if you double the length of the wire, you also double the resistance.
Step 5: Therefore, if the original resistance was R, the new resistance after doubling the length will be 2R.
