Given the network shown in Fig. 2.31: (a) find the required value for the resistor R; (b) use Table 2.1 to select a standard 10 % tolerance resistor for R; (c) using the resistor selected in (b), determine the voltage across the 3.9-k Ω resistor; (d) calculate the percent error in the voltage V_1, if the standard resistor selected in (b) is used; and (e) determine the power rating for this standard component.
TABLE 2.1 Standard resistor values for 5 % and 10 % tolerances (values available with a 10 % tolerance shown in boldface) | |||||||
1.0 | 10 | 100 | 1.0k | 10k | 100k | 1.0M | 10M |
1.1 | 11 | 110 | 1.1k | 11k | 110k | 1.1M | 11M |
1.2 | 12 | 120 | 1.2k | 12k | 120k | 1.2M | 12M |
1.3 | 13 | 130 | 1.3k | 13k | 130k | 1.3M | 13M |
1.5 | 15 | 150 | 1.5k | 15k | 150k | 1.5M | 15M |
1.6 | 16 | 160 | 1.6k | 16k | 160k | 1.6M | 16M |
1.8 | 18 | 180 | 1.8k | 18k | 180k | 1.8M | 18M |
2.0 | 20 | 200 | 2.0k | 20k | 200k | 2.0M | 20M |
2.2 | 22 | 220 | 2.2k | 22k | 220k | 2.2M | 22M |
2.4 | 24 | 240 | 2.4k | 24k | 240k | 2.4M | |
2.7 | 27 | 270 | 2.7k | 27k | 270k | 2.7M | |
3.0 | 30 | 300 | 3.0k | 30k | 300k | 3.0M | |
3.3 | 33 | 330 | 3.3k | 33k | 330k | 3.3M | |
3.6 | 36 | 360 | 3.6k | 36k | 360k | 3.6M | |
3.9 | 39 | 390 | 3.9k | 39k | 390k | 3.9M | |
4.3 | 43 | 430 | 4.3k | 43k | 430k | 4.3M | |
4.7 | 47 | 470 | 4.7k | 47k | 470k | 4.7M | |
5.1 | 51 | 510 | 5.1k | 51k | 510k | 5.1M | |
5.6 | 56 | 560 | 5.6k | 56k | 560k | 5.6M | |
6.2 | 62 | 620 | 6.2k | 62k | 620k | 6.2M | |
6.8 | 68 | 680 | 6.8k | 68k | 680k | 6.8M | |
7.5 | 75 | 750 | 7.5k | 75k | 750k | 7.5M | |
8.2 | 82 | 820 | 8.2k | 82k | 820k | 8.2M | |
9.1 | 91 | 910 | 9.1k | 91k | 910k | 9.1M |