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A rectangular solid made of carbon has sides of lengths 1.0 cm, 2.0 cm, and 4.0 cm resistivity is ρ = 3.5×10−5 ω⋅m . determine the resistance for current that passes through the solid in -"g.com"
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Feb 21, 2019
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A rectangular solid made of carbon has sides of lengths 1.0 cm, 2.0 cm, and 4.0 cm resistivity is ρ = 3.5×10−5 ω⋅m . determine the resistance for current that passes through the solid in -"g.com"
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Missing part in the text of the question. Found the rest on internet:
"
determine the resistance for current that passes through the solid in (a) the x direction (b) the y direction and (c) the z direction"
Solution
The relationship between resistance and resitivity is given by
where R is the resistance
is the resistivity of the material (for carbon, as in this problem,
)
L is the length of the conductor
A is its cross-sectional area.
We can solve the 3 parts of the problem by using the same formula, but every time L and A will be different (because they will depend on the direction of the current)
(a) the current is in the x-direction, so the length of the conductor is
while the cross sectional area is
So the resistance in this case is
(b)
the current is in the y-direction, so the length of the conductor is
while the cross sectional area is
So the resistance in this case is
(c) the current is in the z-direction, so the length of the conductor is
while the cross sectional area is
So the resistance in this case is
Lonelydatum
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Feb 27, 2019
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Lonelydatum
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