P A A differential (very tiny) piece of wire with length da will have resistance dR=dx. Therefore, when either the resistivity or cross-sectional area of a wire change across its length we will need to perform the integral R da to determine its resistance. - 1 / dz A A wire is 2.3 m long, stretching along the x axis from x = 0 to x 2.3 m. The resistivity of this wire is given by p(x) = (3.3 x 10-7)(1+0.6x), where p has units of 2 m when z is measured in units of meters. The cross-sectional area of this wire is A = 1.1 x 10-7 m². What is the resistance of this wire? Now we will consider a different wire that is also 2.3 m long, stretching along the z axis from x = 0 to = 2.3 m. The resistivity of this wire is a uniform p = 3.3 x 10-72m. The cross-sectional area of this wire shrinks as you move down its length, and is given by A(z) = (2.5 x 10-7)e-0.8z where the area has units of m² when z is measured in units of meters.
P A A differential (very tiny) piece of wire with length da will have resistance dR=dx. Therefore, when either the resistivity or cross-sectional area of a wire change across its length we will need to perform the integral R da to determine its resistance. - 1 / dz A A wire is 2.3 m long, stretching along the x axis from x = 0 to x 2.3 m. The resistivity of this wire is given by p(x) = (3.3 x 10-7)(1+0.6x), where p has units of 2 m when z is measured in units of meters. The cross-sectional area of this wire is A = 1.1 x 10-7 m². What is the resistance of this wire? Now we will consider a different wire that is also 2.3 m long, stretching along the z axis from x = 0 to = 2.3 m. The resistivity of this wire is a uniform p = 3.3 x 10-72m. The cross-sectional area of this wire shrinks as you move down its length, and is given by A(z) = (2.5 x 10-7)e-0.8z where the area has units of m² when z is measured in units of meters.
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Transcribed Image Text:dz. Therefore,
A differential (very tiny) piece of wire with length da will have resistance dR A
when either the resistivity or cross-sectional area of a wire change across its length we will need to
da to determine its resistance.
- Ad
perform the integral R=
=
=
A wire is 2.3 m long, stretching along the x axis from x = 0 to z 2.3 m. The resistivity of this
wire is given by p(x) = (3.3 x 10-7)(1+0.6x), where p has units of S. m when x is measured
in units of meters. The cross-sectional area of this wire is A = 1.1 x 10-7 m².
What is the resistance of this wire?
Now we will consider a different wire that is also 2.3 m long, stretching along the x axis from x = 0
to z = 2.3 m. The resistivity of this wire is a uniform p 3.3 x 10-72 m. The cross-sectional
area of this wire shrinks as you move down its length, and is given by A(z) = (2.5 x 10-7)e-0.8z,
where the area has units of m² when z is measured in units of meters.
What is the resistance of this wire?
.
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