There is a resistance in the form of a truncated cone, whose geometry is defined by a larger radius 3a, minor radius a, and length 2a, as shown in the figure. Taking into account that it goes in the vertical direction (z), the resistivity of the material is defined by p=p0  * z2 / 4a2 where (z) is measured with respect to the bottom of the device. Determine: a) The resistance of the device. b) The effective resistivity for a cylindrical resistor of radius 3a and length 5a to have the same resistance.

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There is a resistance in the form of a truncated cone, whose geometry is defined by a larger radius 3a, minor radius a, and length 2a, as shown in the figure. Taking into account that it goes in the vertical direction (z), the resistivity of the material is defined by p=p0  * z/ 4awhere (z) is measured with respect to the bottom of the device. Determine:

a) The resistance of the device.

b) The effective resistivity for a cylindrical resistor of radius 3a and length 5a to have the
same resistance.

За
a
2a
Transcribed Image Text:За a 2a
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