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Two copper conductors one has length l and area a the other has length 2L area a bi to find the resistance and resistivity of both the wires?
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What is the unit of length ? Sorry for any inconivinience.
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Let the resistivity of both the wires be 'ρ'. The resistance of the wire A is given as
RA = ρ1/πr²
The Resistance of the wires B is given as
RB = ρ21/π2r² = ρ1/2πr²
Now when the resistance are connected in series is R = RA + RB. That is, R = 3/2 (ρ1/πr²)
So, the required ratio is
R:RA = 3/2(ρ1/πr²) : ql/πr²
Therefore, R : RA = 3:2
Hence, the ratio of the resistances in series and only wire A is 3/2.
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