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 2.04 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 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. | 3 67 x 103 -m Material 1 Material 2 Material 3 0.876 ·m Number 7.99 x 10-5 ·m Number 2.04 mm 6.47 mm Number 37.44 mm

Explanation / Answer

resistance R=(rho*length)/area

area of circular cross section is= pi*r^2 = 3.14*(2.04mm)^2

area of square =a^2=(6.47mm)^2

area of triangle=ab/2=7.44mm*7.44mm/2

Resistance R1=3.67*10^(-3)*0.763*10^(-2)/3.14*(2.04*10^-3)^2

=2.142 ohm

Resistance R2 = 0.878*0.763*10^(-2)/(6.47*10^-3)^2

= 160 ohm

Resistance R3= 7.99*0.763*10^(-2)/7.44*7.44*10^(-6)/2

= 0.022 ohm

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