Three resistors are made out of three different materials and have different (bu

Question

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 2.90 mm. Resistor 2 has a square cross section with a side length of 6.47 mm. The third resistor's cross-section is a right triangle with two sides of length 6.47 mm as shown. All of the resistors are 0.838 cm in length. Use the provided table of resistivities to calculate the resistance of each resistor.

material 1: 8.15e-3 omega * m

material 2: 0.876 omega * m

material 3: 5.75e-5 omega * m

Explanation / Answer

R1 = rho1*L/A

A = pi*r^2 = 26.42 mm^2

R1 = 2.585 ohms

R2 = rho2*L/A

A = a^2

R1 = 175.3636 ohms

R3 = rho3*L/A

A = 0.5bh

R3 = 0.023 ohms

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