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12.5: Procedure

Last updated

Mar 22, 2021
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- 12.4: Schematics
- 12.6: Data Tables

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1. Typical function generators have a 50 $\Omega$ internal impedance. These are not shown in the circuit of Figure 12.4.1. To test the Superposition Theorem, sources $E1$ and $E2$ will be examined separately and then together.

12.5.1: Source One Only

2. Consider the circuit of Figure 12.4.1 with C = 100 nF, L = 10 mH, R = 1 k $\Omega$ , using only source $E1$ = 2 V p-p at 1 kHz and with source $E2$ replaced by its internal impedance of 50 $\Omega$ . Using standard series-parallel techniques, calculate the voltages across $E1$ , R, and $E2$ . Remember to include the 50 $\Omega$ internal impedances in the calculations. Record the results in Table 12.6.1.

3. Build the circuit of Figure 12.4.1 using C = 100 nF, L = 10 mH, and R = 1 k $\Omega$ . Replace $E2$ with a 50 $\Omega$ resistor to represent its internal impedance. Set $E1$ to 2 V p-p at 1 kHz, unloaded. Make sure that the Bandwidth Limit of the oscilloscope is engaged for both channels. This will reduce the signal noise and make for more accurate readings. Place probe one across $E1$ and probe two across R. Measure the voltages across $E1$ and R, and record in Table 12.6.1. Record a copy of the scope image. Move probe two across $E2$ (the 50 $\Omega$ ), measure and record this voltage in Table 12.6.1.

12.5.2: Source Two Only

4. Consider the circuit of Figure 12.4.1 using only source $E2$ = 2 V p-p at 10 kHz and with source $E1$ replaced by its internal impedance of 50 $\Omega$ . Using standard series-parallel techniques, calculate the voltages across $E1$ , R, and $E2$ . Remember to include the 50 $\Omega$ internal impedances in the calculations. Record the results in Table 12.6.2.

5. Replace the 50 $\Omega$ with source $E2$ and set it to 2 V p-p at 10 kHz, unloaded. Replace $E1$ with a 50 $\Omega$ resistor to represent its internal impedance. Place probe one across $E2$ and probe two across R. Measure the voltages across $E2$ and R, and record in Table 12.6.2. Record a copy of the scope image. Move probe two across $E1$ (the 50 $\Omega$ ), measure and record this voltage in Table 12.6.2.

12.5.3: Sources One and Two

6. Consider the circuit of Figure 12.4.1 using both sources, $E1$ = 2 V p-p at 1 kHz and $E2$ = 2 V p-p at 10 kHz. Add the calculated voltages across $E1$ , R, and $E2$ from Tables 12.6.1 and 12.6.2. Record the results in Table 12.6.3. Make a note of the expected maxima and minima of these waves and sketch how the combination should appear on the scope

7. Replace the 50 $\Omega$ with source $E1$ and set it to 2 V p-p at 1 kHz, unloaded. Both sources should now be active. Place probe one across $E1$ and probe two across R. Measure the voltages across $E1$ and R, and record in Table 12.6.3. Record a copy of the scope image. Move probe two across $E2$ , measure and record this voltage in Table 12.6.3.

12.5.4: Computer Simulation

8. Build the circuit of Figure 12.4.1 in a simulator. Using Transient Analysis, determine the voltage across the resistor and compare it to the theoretical and measured values recorded in Table 12.6.3. Be sure to include the 50 $\Omega$ source resistances in the simulation.

12.5.1: Source One Only

12.5.2: Source Two Only

12.5.3: Sources One and Two

12.5.4: Computer Simulation

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