(Solved): Using figure 7.1 with a 10V p-p 10khz source R=1 kilo ohm and C= 10 nF, determine the theoretical ca ...

Using figure 7.1 with a 10V p-p 10khz source R=1 kilo ohm and C= 10 nF, determine the theoretical capacitive reactance and circuit impedance and record the results in the table . using the current divider rule, compte the resistor and capacitor currents and record

Schematics Higure \( 7.1 \) rigure 1,2 Procedure RC Circuit 1. Using Figure \( 7.1 \) with a \( 10 \mathrm{~V} \mathrm{p}-\mathrm{p} 10 \mathrm{kHz} \) source, \( \mathrm{R}=1 \mathrm{k} \Omega \), and \( \mathrm{C}=10 \mathrm{nF} \), deten capacitive reactance and circuit impedance, and record the results in Table 7.1 portion of this table will be filled out in step 6). Using the current divider rule, and capacitor currents and record them in Table 7.2. 2. Build the circuit of Figure \( 7.1 \) using \( \mathrm{R}=1 \mathrm{k} \Omega \), and \( \mathrm{C}=10 \mathrm{nF} \). A common methor using the oscilloscope is to place a small current sense resistor in line with the the resistor is much smaller than the surrounding reactances it will have a mini current. Because the voltage and current of the resistor are always in phase wit relative phase of the current in question must be the same as that of the sensing Each of the three circuit currents will be measured separately and with respect to determine relative phase. To measure the total current, place a \( 10 \Omega \) resistor the bottom connection of the parallel components. Set the generator to a \( 10 \mathrm{~V}_{1} \) \( 10 \mathrm{kHz} \). Make sure that the Bandwidth Limit of the oscilloscope is engaged for will reduce the signal noise and make for more accurate readings. Also, consid averaging, particularly to clean up signals derived via the Math function. 3. Place probe one across the generator and probe two across the sense resis across the sense resistor, calculate the corresponding total current via Ohr 7.2. Along with the magnitude, be sure to record the time deviation betwe the input signal (from which the phase may be determined eventually). 4. Remove the main sense resistor and place one \( 10 \Omega \) resistor between the capac serve as the capacitor current sense. Place a second \( 10 \Omega \) resistor between the ? sense the resistor current. Leave probe one at the generator and move probe tw resistor in the resistor branch. Repeat the Ohm's law process to obtain its curre magnitude and phase angle in Table 7.2. Finally, move probe two so that it is \( \varepsilon \) sense resistor. Measure and record the appropriate values in Table 7.2. Note th four channel oscilloscope, simultaneous input, resistor and capacitor measuren 2. Build the circuit of Figure \( 7.1 \) using \( R=1 \mathrm{k} \Omega \), and \( \mathrm{C}=10 \mathrm{nF} \). A common metho using the oscilloscope is to place a small current sense resistor in line with the the resistor is much smaller than the surrounding reactances it will have a mini current. Because the voltage and current of the resistor are always in phase wit relative phase of the current in question must be the same as that of the sensing Each of the three circuit currents will be measured separately and with respect to determine relative phase. To measure the total current, place a \( 10 \Omega \) resistor the bottom connection of the parallel components. Set the generator to a \( 10 \mathrm{~V} \) / \( 10 \mathrm{kHz} \). Make sure that the Bandwidth Limit of the oscilloscope is engaged for will reduce the signal noise and make for more accurate readings. Also, consid averaging, particularly to clean up signals derived via the Math function. 3. Place probe one across the generator and probe two across the sense resis across the sense resistor, calculate the corresponding total current via Oht 7.2. Along with the magnitude, be sure to record the time deviation betwo the input signal (from which the phase may be determined eventually). 4. Remove the main sense resistor and place one \( 10 \Omega \) resistor between the capac serve as the capacitor current sense. Place a second \( 10 \Omega \) resistor between the ? sense the resistor current. Leave probe one at the generator and move probe tw resistor in the resistor branch. Repeat the Ohm's law process to obtain its curre magnitude and phase angle in Table 7.2. Finally, move probe two so that it is a sense resistor. Measure and record the appropriate values in Table 7.2. Note th four channel oscilloscope, simultancous input, resistor and capacitor measuren 5. Move probe one to the resistor's sense resistor and leave probe two at the capa Save a picture of the oscilloscope displaying the voltage waveforms representi Math waveform computed from \( i_{\mathrm{R}}+i_{\mathrm{C}} \) ). 6. Compute the deviations between the theoretical and experimental values of Tab results in the final columns of Table 7.2. Based on the experimental values, dete experimental \( Z \) and \( X_{\mathrm{C}} \) values via Ohm's law \( \left(\mathrm{X}_{\mathrm{C}}=V_{\mathrm{C}} / i_{\mathrm{C}} . \mathrm{Z}=V_{\mathrm{i}} / i_{\mathrm{in}}\right) \) and record be with the deviations. 7. Create a phasor plot showing \( f_{\mathrm{in}}, i_{\mathrm{C}} \), and \( i_{\mathrm{R}} \). Include both the time domain display phasor plot with the technical report. RL Circuit 8. Replace the capacitor with the \( 10 \mathrm{mH} \) inductor (i.e. Figure 7A.2), and repeat st manner, using Tables \( 7.3 \) and \( 7.4 \). RLC Circuif 9. Using Figure \( 7.3 \) with both the \( 10 \mathrm{nF} \) capacitor and \( 10 \mathrm{mll} \) inductor (and a third steps 1 through 7 in like manner, using Tables \( 7.5 \) and 7.6. Note that it will not I four waveforms simultaneously in step 5 if a two channel oscilloscope is being channel oscilloscope, place a probe across each of the three sense resistors. RC circuit RLcircuit RLCcircuit Questions 1. What is the phase relationship between \( \mathrm{R}, \mathrm{L} \), and \( \mathrm{C} \) components in a paral 2. Based on measurements, does Kirchhoff's current law apply to the three to 3. In general, how would the phasor diagram of Figure \( 7.1 \) change if the \( f \) 4. In general, how would the phasor diagram of Figure \( 7.2 \) change if the \( f \) Conclusions: Formulate conclusions based on the objective of the activity.