How does the resistance of a wire change when:
its diameter is tripled?
Advertisement Remove all ads
Solution
Resistance,
`R=l/A`
where l = length of wire
A= area of cross-section of the wire
When the diameter is tripled, d' = 3d Radius, r' = 3r
Area of cross-section, `A=Api^2=A(3pi)^2=9Api^2=9A`
Thus, the area of cross-section will become nine times.
Then the new resistance,
`R'=l/A`
`R'=l/9A`
`R'=R/9`
Thus, the resistance will be reduced by nine times.
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads