we have a copper wire of resistance R this wire spool so that its length is the world temperature remains constant find the new resistance of the wire in the terms of its original resistance
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According to Ohm's law, current in the circuit is proportional to the voltage.
R = ρl/A,
where ρ is considered resistivity of the material.
Let
R1 = ρL/A and
R2 = ρ.2L/(A/2) =4.
ρL/A = 4R1.
Therefore, the new resistance of the conductor is four times the original resistance.
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