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1. Commercial small carbon resistors normally come in only certain xed values: 10, 12, 15, 22, 33, 39, 47, 56, 68, 75, 82, 91 ohms and in values 1/10, 10, 100, 1,000 and 10,000 times these. What series combinations of these can give the following values: 55 Q: 77 Q: 900 Q: 2. What is the resistance of 22 Q, 33 Q, and 39 Q resistors connected in parallel? 3. Prove that R 1, R2, and R3 in parallel is given by the expression: R1R2+RR1R2RZR3+3R1R3 V. Exercise 1. Commercial small carbon resistors normally come in only certain fixed values: 10, 12, 15, 22, 33, 39, 47, 56, 68, 75, 82, 91 ohms and in values 1/10, 10, 100, 1,000 and 10,000 times these. What series combinations of these can give the following values: 550 : =100 + 100 + 100 + 100 + 150 = 220 + 330 = 100 + 120 + 330 = 150 + 150 + 150 + 100 779 : = 100 + 120 + 220 + 330 =220 + 220 + 330 = 100+ 100+ 100 + 470 = 100 + 100 + 120 + 120 + 330 900 9 : = 120 x 10 + 220 x 10 + 560 x 10 = 1200 + 2200 + 5600 = 100 x 10 + 330 x 10 + 470 x 10 = 1000 + 3300 + 4700 = 220 x 10 + 680 x 10 = 2200 + 6800 = 100 + 150 + 220 + 330 + 820 x 10 = 100 + 150 + 220 + 330 + 82003. Prove that R1, R2, and R3 in parallel is given by the expression: R1 R2R3 R. R2+R2 R3+R. Ra3) RI , R2 and R3 are in parallel circuit 80 R RI R2 R3 1 = ( R2 + RT ) R + RIRZ R3 1 = R3 ( R2+ RI ) + RIR2 R R 1 R 2 R3 1 = R3R2 + R3RI + RIP2 R R1 R2R3 Taking inverse of both side, R = RI R2R3 RI R 2 + R2R3+ RIR3 Hence proved