M19 Lab
M19 Lab: Reactance and Impedance
Roger Argo
ECEN 150
Introduction:
Purpose:
1. Practice calculating reactance and impedance.
2. Observe the phase shift between voltage and current caused by reactance and impedance.
3. Learn how to make AC voltage phase shift measurements with an oscilloscope.
4. Become more familiar with laboratory instruments and reading instrument operating manuals.
Equipment / Materials
1. 0.1 UF Capacitor
2. 1 Kilo ohm Resistor
3. Oscilloscope
4. Generator
5. Breadboard
Procedure:
1. Connect a 0.1 μF capacitor and a 1 kΩ resistor to a function generator and an oscilloscope as shown below.
2. Calculate and record the reactance (XC) of the 0.1 μF capacitor when connected to a 100 Hz AC voltage.
3. Calculate and record the total impedance (ZT) of the circuit. (ZT = R - j XC = z ∠Ѳ)
4. Calculate and record the period (T) of the 100 Hz AC voltage.
5. Using 2 VPP (with a reference phase angle of 0o) as the total applied voltage (vT) and using the total impedance (ZT) calculated in step # 3, calculate and record the magnitude and phase angle of the current in this circuit.
6. Calculate and record the magnitude and phase angle of the voltage (vR) this current causes to drop across the 1 kΩ resistor. (Remember, i R = iT in series circuits.)
7. Convert the phase angle of this current (i T) from degrees to seconds with the following unit conversion formula: Phase Shift (in seconds) = (T / 360o) * (phase angle of i T) (The degrees cancel out and the result is in seconds.)
8. Record the calculated phase shift (in seconds).
9. Use the oscilloscope measurements on channel 1 to adjust the function generator for a 100 Hz sine wave output voltage (vT) of 2 VPP. Refer to the User Manuals for details of how to do this.
10. Display the voltage across the resistor on channel 2 of the oscilloscope and superimpose it on the total voltage shown on channel 1. Increase the display size of the much smaller voltage on
Roger Argo
ECEN 150
Introduction:
Purpose:
1. Practice calculating reactance and impedance.
2. Observe the phase shift between voltage and current caused by reactance and impedance.
3. Learn how to make AC voltage phase shift measurements with an oscilloscope.
4. Become more familiar with laboratory instruments and reading instrument operating manuals.
Equipment / Materials
1. 0.1 UF Capacitor
2. 1 Kilo ohm Resistor
3. Oscilloscope
4. Generator
5. Breadboard
Procedure:
1. Connect a 0.1 μF capacitor and a 1 kΩ resistor to a function generator and an oscilloscope as shown below.
2. Calculate and record the reactance (XC) of the 0.1 μF capacitor when connected to a 100 Hz AC voltage.
3. Calculate and record the total impedance (ZT) of the circuit. (ZT = R - j XC = z ∠Ѳ)
4. Calculate and record the period (T) of the 100 Hz AC voltage.
5. Using 2 VPP (with a reference phase angle of 0o) as the total applied voltage (vT) and using the total impedance (ZT) calculated in step # 3, calculate and record the magnitude and phase angle of the current in this circuit.
6. Calculate and record the magnitude and phase angle of the voltage (vR) this current causes to drop across the 1 kΩ resistor. (Remember, i R = iT in series circuits.)
7. Convert the phase angle of this current (i T) from degrees to seconds with the following unit conversion formula: Phase Shift (in seconds) = (T / 360o) * (phase angle of i T) (The degrees cancel out and the result is in seconds.)
8. Record the calculated phase shift (in seconds).
9. Use the oscilloscope measurements on channel 1 to adjust the function generator for a 100 Hz sine wave output voltage (vT) of 2 VPP. Refer to the User Manuals for details of how to do this.
10. Display the voltage across the resistor on channel 2 of the oscilloscope and superimpose it on the total voltage shown on channel 1. Increase the display size of the much smaller voltage on