Three resistors are made out of three different materials Three resistors are ma

Question

Three resistors are made out of three different materials

Three resistors are made out of three different materials and have different (but uniform) cross-sections. Resistor 1 has a circular cross-section of radius 2.47 mm. Resistor 2 has a square cross section with a side length of 2.22 mm. The third resistor's cross-section is a right triangle with two sides of length 7.44 mm as shown. All of the resistors are 0.763 cm in length. Use the provided table of resistivities to calculate the resistance of each resistor.

Explanation / Answer

A1 = 19.166 x 10^-6

R1 = 5.91 x 10^-3 * .764 x 10^-2 / 19.166 x 10^-6

= 2.356 ohms

A2 = a^2 = 2.22^2 x 10^-6 = 4.9284 x 10^-6

R2 =.391 x .764 x 10^-2 / 4.9284 x 10^-6

=606 ohms

A3 = .5*7.44^2 x 10^-6 = 27.6768 x 10^-6

R3 = .0097 ohm

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