Resisitance of a wire is x ohm, The wire is stretched to triple its length, then the resistance
becomes ?
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Answer:
If The wire is stretched 3 times the original length, the cross-section of the wire is cut to 1/3rd it's the original cross-section. Since the resistance of a wire is given by R = rho*l/A the length while cutting the cross-section by 3x, the new resistance will be 9 times the original resistance
Similar questions
2
L=A×L
L
′
=3L⟹A
′
=
3
A
We know,
R=
A
ρ×L
Hence,
R
R
′
=
L
L
′
×
A
′
A
=
L
3L
×
3
A
A
=9
Hence,
R
′
=9R