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 1.61 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 2.59 mm as shown. All of the resistors are 0.913 cm in length. Use the provided table of resistivities to calculate the resistance of each resistor. material1: 7.03x10^-3 ohms X M material 2 : 0.488 ohms X material3: 6.87x10^-5 ohms X M

Explanation / Answer

a)

A1=pi*r^2 =pi*(1.61*10^-3)^2 =8.14*10^-6 m^2

R=pL/A

=>R1=(7.03*10^-3)(0.913*10^-2)/(8.14*10^-6)

=>R1=7.99 ohms

b)

A2=S^2 =(6.47*10^-3)^2=4.186*10^-5 m^2

R2=(0.488*0.913*10^-2)/(4.186*10^-5)

R2=106.43 ohms

c)

A=(1/2)ab =0.5*(2.59*10^-3)^2 =3.354*10^-6 m^2

R3=(6.87*10^-5)*(0.913*10^-2)/(3.354*10^-6)

R3=0.187 ohms

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