An electric wire of resistance 10 ohm is stretched to increase its length by 2 times. By what percentage will the resistance be increased??
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Answered by
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Answer:
14.4ohm
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Answered by
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Answer:
❤_ GOOD MORNING SISTER _❤
The resistance of a wire can be expressed as R=
A
ρL
where,
ρ is the resistivity of the wire
L is the length of the wire
A is the area of cross section of the wire
In this case, the wire is stretched so as to increase its length by 20% i.e. factor of 1.2.
Here, the wire's cross-sectional area(CSA) reduces by factor of 1.2 times of its original value as volume of wire is constant.A 1 L 1
=A 2 L 2A 2
= 1.2A 1R 2
= A 2ρL 2
= 1.2A 1
ρ1.2L 1R 2
=1.44 A 1ρL 1
=1.44×10=14.4
Hence, the new resistance is 14.4 ohms.
❤_ TO DAY MY BIRTHDAY PAGAL _❤
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