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PLEASE HELP ME WITH THIS ONE QUESTION
A cylindrical copper wire has a resistance of 10 Ω across a 1-meter length. The resistivity of copper is 1.7 x 10^-8 Ω-m. What is the cross-sectional area of the wire?

Sagot :

snowywolf2027
Resistance
R
of a conducting wire of length
l
and of area of cross section
A
is given by the expression
R
=
ρ
l
A

where
ρ
is resistivity or specific resistance of the material of the conductor.
Inserting given values in the expression in SI units we get
34
=
(
1.7
×
10
−
8
)
l
π
(
0.1
1000
)
2
4

⇒
l
=
34
1.7
×
10
−
8
×
π
4
(
0.1
1000
)
2

⇒
l
=
15.71

m
, rounded to two decimal places.
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