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Extra resources for Schaum s outline of theory and problems of basic circuit analysis
3-20 find the total resistance R , with terminals a and 6 ( a ) open -circu it ed, and (6) short-circu i t ed . 16 52 14 52 352 952 Fig. 3-19 852 4052 10 52 Fig. 3-20 C H A P . 31 45 SERIES A N D P A R A L L E L DC CIRCUITS ( a ) With terminals a and h open, the 40- and 90-R resistors are in series, as are the 60- and 10-R resistors. 5 R + 90 + 60 +% (40 + 90x60 40 (b) For terminals a and b short-circuited, the 40- and 6 0 - 0 resistors are in parallel, as are the 90- and 10-R resistors. 43 T 40 x 60 = p 4 0 + 60 90 x 10 +------- 33R 9 0 + 10 A 90-A current flows into four parallel resistors having resistances of 5, 6 , 12, and 20 Q.
Since the voltage across resistors R , and R, is 50 V, there must be 100 - 50 = 50 V across R , . By Ohm's law, R , = 50,'2 = SERIES AND PARALLEL DC CIRCUITS [CHAP. 3 25 Q. Resistors R , and R , have 80 V across them, leaving 100 - 80 = 20 V across R , . Thus, R , = 20,2 = 1OQ. The resistance of R , is the total resistance minus the resistances of R , and R,: R , = 50 - 10 - 2 5 = 1 5 0 . 16 What is the maximum voltage that can be applied across the series combination of a 150-$2, 2-W resistor and a 100-0, 1-W resistor without exceeding the power rating of either resistor?
57 157 mS If an aluminum power line has a resistance of 80 R at 3 0 T , what is its resistance when cold air lowers its temperature to - 10cC? Ans. 56 29 RESISTANCE CHAP. 1 R Find the temperature coefficient of resistance of iron at 20'C if iron has an inferred zero resistance temperature of - 162°C. ' Ans. 60 What is the maximum current that a 1-W, 56-kR resistor can safely conduct'? Ans. 61 What is the maximum voltage that can be safely applied across a i-W, 91-R resistor? Ans. 18 R; ( h ) 5 percent, 39 kR; and (c) 20 percent, 20 MR?