3. A copper wire has a diameter 0.5 mm and resistivity 1.6 x 10-8 m.
(1) What will be the length of this wire to make the resistance of 12 ?
(12) How much will be the resistance of another copper wire of same length but half the diameter
Its urgent please answer
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Answer:
R=10 Ω
ρ=1.6 x 10^(-8) Ω⋅m
d=0.05 mm
=0.05 x 10^(-3) m
=5 x 10^(-5)m
So r = 2.5 x 10^(-5) m
l=? m
now using,
R=ρl/A,
or R=ρl/π(r^2)
10= {[1.6 x 10^(-8)] x l}/ π x [(2.5 x 10^(-5)) ^2]
10= {[1.6 x 10^(-8)] x l}/[2 x 10^(-9)]
now find the value of l
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