A rectangular solid made of carbon has sides lying along the x , y , and z axes,

Question

A rectangular solid made of carbon has sides lying along the x, y, and z axes, whose lengths are 1.20 cm, 2.40 cm, and 4.80 cm, respectively, as seen in figure below.

Determine the resistance for current that flows through the solid in the x direction. Assume the resistivity is ? = 3.00E-5 ?*m

Determine the resistance for current that flows through the solid in the y direction.

Determine the resistance for current that flows through the solid in the z direction.

A rectangular solid made of carbon has sides lying along the x, y, and z axes, whose lengths are 1.20 cm, 2.40 cm, and 4.80 cm, respectively, as seen in figure below. Determine the resistance for current that flows through the solid in the x direction. Assume the resistivity is ? = 3.00E-5 ?*m Determine the resistance for current that flows through the solid in the y direction. Determine the resistance for current that flows through the solid in the z direction.

Explanation / Answer

resistance = ? L / A
where L is length in direction of current flow and A is cross-sectional area perpendicular to current flow.

?=3.00E-5

a)R=3.00E-5 *0.012/0.024*0.048

=0.036e-5/0.0011

=31.3e-5 ohm

b)R=3.00E-5 *0.024/0.012*0.048

=0.072e-5/0.000576

=125e-5ohm

c)R=3.00E-5 *0.048/0.012*0.024

=0.144e-5/0.00028

=500e-5ohm

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