Question

Three resistors are made out of three different materials and have different (but uniform) cross sections....

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 3.07 mm . The third resistor's cross section is a right triangle with two sides of length 6.47 mm . All of the resistors are 0.763 cm in length. Use the provided table of resistivities to calculate the resistance of each resistor.

Material 1 0.00591 Ω⋅m

Material 2 0.488 Ω⋅m

Material 3 4.63×10−5 Ω⋅m

Three shapes, numbered 1 to 3. Shape one is a circle. Shape 2 is a square. Shape 3 is a right triangle. ?1= Ω ?2= Ω

?3= Ω

Homework Answers

Answer #1

For R1 (circular cross-section) :

l = length = 0.763 cm = 0.00763 m

r = radius = 2.47 mm = 0.00247 m

rho = 0.00591 Ω⋅m

resistance R1 = [answer]

For R2 (square cross-section):

l = length = 0.763 cm = 0.00763 m

L = side length = 3.07 mm = 0.00307 m

rho = 0.488 Ω⋅m

reistance R2 = [answer]

For R3 (triangular cross-section):

l = length = 0.763 cm = 0.00763 m

b = base = h = height = 6.47 mm = 0.00647 m

rho = 4.63×10−5 Ω⋅m

resistance R3 = [answer]

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