resistance of wire of length 10 cm is 2 ohm if the wire is stretched uniformly of 40 cm the resistance is
resistance of wire of length 10 cm is 2 ohm if the wire is stretched uniformly of 40 cm the resistance is
karthikeyan , 7 Years ago
Grade 12
Electrostatics> resistance of wire of length 10 cm is 2 o...
1 Answers
Arun
The length (L) increases 5 times to L' = 4L.
Since the volume of metal will be constant, the cross-sectional area (A) is reduced to A' = A/4.
The new resistance (R') is:
R' = ρL'/A'
. . = ρ(4L)/(A/4)
. . = 16ρL/A
. . = 16R
So resistance increases 16 times, from 2 ohms to 2 x 16 = 32 ohms.
Since the volume of metal will be constant, the cross-sectional area (A) is reduced to A' = A/4.
The new resistance (R') is:
R' = ρL'/A'
. . = ρ(4L)/(A/4)
. . = 16ρL/A
. . = 16R
So resistance increases 16 times, from 2 ohms to 2 x 16 = 32 ohms.
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