- Procedure 1 Consider The Circuit Of Figure 13 R5 And R6 Form A Simple Series Connection Together They Are In Paralle 1 (77.52 KiB) Viewed 55 times
- Procedure 1 Consider The Circuit Of Figure 13 R5 And R6 Form A Simple Series Connection Together They Are In Paralle 2 (36.16 KiB) Viewed 55 times
- Procedure 1 Consider The Circuit Of Figure 13 R5 And R6 Form A Simple Series Connection Together They Are In Paralle 3 (14.63 KiB) Viewed 55 times
- Procedure 1 Consider The Circuit Of Figure 13 R5 And R6 Form A Simple Series Connection Together They Are In Paralle 4 (15.02 KiB) Viewed 55 times
Procedure 1. Consider the circuit of Figure 13. R5 and R6 form a simple series connection. Together, they are in parallel with R4. Therefore, the voltage across R4 must be the same as the sum of the voltages across R5 and R6. Similarly, the current entering node C from R3 must equal the sum of the currents flowing through R4 and R5. This three- resistor combination is in series with R3 in much the same manner than R6 is in series with R5. These four resistors are in parallel with R2, and finally, these five resistors are in series with R1. Note that to find the voltage at node B the voltage divider rule may be used, however, it is important to note that VDR cannot be used in terms of R1 versus R2. Instead, R1 reacts against the entire series-parallel combination of R2 through R6. Similarly, R3 reacts against the combination of R4, R5 and R6. That is to say R5 and R6 load R4, and R3 through R6 load R2. Because of this process note that V, must be less than Vc, which must be less than V₂, which must be less than VA. Thus, the circuit may be viewed as a sequence of loaded voltage dividers. 2. Construct the circuit of Figure 13 using R1 = 330, R2 = 100 k, R3 = 2.0 k, R4 = 5.1 k, R5 = 10 K, 3. R6 10 k and E = 5 volts. Based on the observations of Step 1, determine the theoretical voltages at nodes A, B, C and D, and record them in Table 14. Measure the potentials with a DMM, compute the deviations and record the results in Table 14. 4. Based on the theoretical voltages found in Table 14, determine the currents through R1, R2, R4 and R6. Record these values in Table 15. Measure the currents with a DMM, compute the deviations and record the results in Table 15. 5. Consider the circuit of Figure 14. In this bridge network, the voltage of interest is VAB. This may be directly computed from VA-V₂. Assemble the circuit using R1 = 1 k, R2 = 5.1 k, R3 = 5.1k, 6. R4 = 10.0 k and E = 5 volts. Determine the theoretical values for VA, VB and VAB and record them in Table 16. Note that the voltage divider rule is very effective here as the R1 R2 branch and the R3 R4 branch are in parallel and therefore both "see" the source voltage. 7. Use the DMM to measure the potentials at A and B with respect to ground, the red lead going to the point of interest and the black lead going to ground. To measure the voltage from A to B, the red lead is connected to point A while the black is connected to point B. Record these potentials in Table 16. Determine the deviations and record these in Table 16.
A -E -E R1 Figure 13 www ww Figure 14 B R2 R1 m R3 A R2 C M R5 R4 R3 B R4 D R6
Voltage VA VB Vc V₂ Current R₁ R₂ R4 Re Voltage VA VB VAB Table 14 Table 15 Table 16 Theory Theory Theory Measured Measured Measured Deviation Deviation Deviation
1. In Figure 13, if another pair of resistors was added across R6, would VĎ go up, down, or stay the same? Why? 2. In Figure 13, if R4 was accidentally opened would this change the potentials at B, C and D? Why or why not? 3. If the DMM leads are reversed in Step 5, what happens to the measurements in Table 16? 4. Suppose that R3 and R4 are accidentally swapped in Figure 14. What is the new VAB?