CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A wire of a given material having length l and area of cross-section A has a resistance 8Ω. Determine the resistance of another wire of same material having length 2l and area of cross-section A2?

Open in App
Solution

Step 1: Initial Resistance

Initial length =l
Initial cross section =A
Initial Resistance =ρlA

R=ρlA=8Ω ....(1)

Step 2: Final resistance
Final length l=2l

Final cross section area A =A2

Final Resistance R=ρlA=ρ2lA2=4ρlA

R=4ρlA

From equation (1)

R=4R=4×8=32Ω

flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Resistance and Resistors
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon