4/20/2016 11:55 PM14J/100 Three rusistors are made out of three different materi

Question

4/20/2016 11:55 PM14J/100 Three rusistors are made out of three different materiais and have differund (out unifonn cross-sections. Resistor 1 has a crcular cross-section of radius 3.33mm Resistor 2 has s squm cross snciien with a ide length of 1.37 mm. The third resistor's cross-section is a right triangle with two sides of length 3 50 mm as shown Allofthe resilors are O 53 in iengh Usm the provided utie of resistivtins akuatn he resistance of each resistor. Material 1479 10 0m Material 2 Material 3 83 10% 0m 0779 a m umber 3.33 mm 1.37 mm Number 3.56 mm OPrevious Gom up & View tkldon Check AnsaerNext Hint

Explanation / Answer

Resistance R = L/A

Area 1 = r2 = (3.33)2 = 34.83680678 mm2 = 34.83680678 x 10-6 m2

Area 2 = side2 = 1.372 = 1.8769 mm2 = 1.8769 x 10-6 m2

Area 3 = 0.5 x base x height = 0.5 x 3.56 x 3.56 = 6.3368 mm2 = 6.3368 x 10-6 m2

Lengths L1 = L2 = L3 = 0.763 cm = 7.63 x 10-3 m

R1 = 1L1/A1 = 4.9 x 10-3 x 7.63 x 10-3 / (34.83680678 x 10-6) = 1.0732 ohms

R2 = 2L2/A2  = 0.779 x 7.63 x 10-3 / (1.8769 x 10-6) = 3166.801641 ohms

R3 = 3L3/A3  = 4.53 x 106 x 7.63 x 10-3 / ( 6.3368 x 10-6) = 5454472289 ohms

The values of resistivities were not clearly visible in the image even after zooming. So, if at all the values taken are wrong just replace them with the actual values, the proceedure is correcta anyway.

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