ECE 201 Lecture Notes - Lecture 2: Heating Element, Voltage Divider, Joule

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A resistor of length consists of a hollow cylinder of radius a surrounded by a layer of carbon that extends from r = a to r = b, as shown in fig. 2. 1: develop an expression for the resistance r, calculate r at 20 c for a = 1 cm, b = 2 cm, and = 10 cm. Use lengths in meters, conductivity of carbon is 7. 14 x 104 s/m (p. 51) A 110-v heating element in a stove can boil a standard-size pot of water in 1. 2 minutes, consuming a total of 136 kj of energy. Determine the resistance of the heating element and the current flowing through it. Voltage vl appears across the 4 - 6 parallel combination. That combination has a resistance of r = (4 x 6)/(4 + 6) = 2. 4 . 10 v appears across the right branch, consisting of the 5 , 2. 4 , and 5 resistors.

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