3-Lab_3 Electric Fields in Material Space_2024 (1)

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Feb 20, 2024

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ELEC 2280 Electromagnetic Fields University of Windsor University of Windsor Electrical and Computer Engineering ELEC 2280 Electromagnetic Fields Instructor: R. Rashidzadeh Electric Fields in Material Space Lab_3 1-Name: ______________________ ID:__________________________ 2-Name: ______________________ ID:__________________________ Click here to launch the "Capacitor Lab" simulation tool and set the environment as shown in Fig. 1.

ELEC 2280 Electromagnetic Fields University of Windsor Fig. 1 1) Using the default separation and plate area, adjust the battery at 1.0V.  Calculate the capacitance and the energy stored in the capacitor.  Compare the results of your hand calculations with simulation results. 2) Connect the voltmeter to the capacitor plates. Measure charge Q, capacitance C, and the corresponding electric field intensity at V=-1.5 v, -1.00 V, 1.00V and 1.5V. V= -1.5 V V=-1.00 V V=1.0 V V=1.5 V Charge (coulombs) Electric Field(V/m) Capacitance (F)

ELEC 2280 Electromagnetic Fields University of Windsor Stored Energy (J) At V=1.5V, verify that the measured values of Q, E, and J are in agreement with your hand calculations. 3) What happens if you increase the plate area from 100 mm 2 to 400 mm 2 at V=1.5 V. Compare the measured electric field (E), Charge (Q), Stored Energy (J). Verify the variations of measured values using equations for E, Q, and the stored energy. b) Vary the separation between the plates of the capacitor. How does the capacitance change with the separation? Using the default separation and plate area, read the stored energy at V=-1.5v. Use the result to calculate the free space permittivity, ε 0 . c) With the battery at 1.5V, increase the separation of the plates. What happens to the plate charge and why? Explain the variations of current flow with the separation of the plates.

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ELEC 2280 Electromagnetic Fields University of Windsor d) What happens to the strength of the field when the separation increases and why? 4) Connect a 1.5V battery to the capacitor, set the separation to 5 mm, and then disconnect the battery. a) What happens to the plate charge when the separation increases and why? b) What happens to the voltage across the capacitor, the strength of the field, and the electric field between the plates when the plate separation increases? Explain the results. c) What happens to the stored energy when the plate separation is increased, and why? d) Where does this energy come from / go to?

ELEC 2280 Electromagnetic Fields University of Windsor 5) Repeat part 4 with the battery connected. Click on the Dielectric tab on the menu bar and set the simulation environment as shown in Fig. 2. Fig. 2 6) Verify the measured values for Capacitance, Plate Charge, and Stored Energy through calculation.

ELEC 2280 Electromagnetic Fields University of Windsor 7) Measure the electric field inside the dielectric and the free air inside the capacitor. Compare the results and verify the difference between them through calculation. 8) Reduce the Dielectric offset from 6mm to 2.5mm. Compare the Capacitance and the Plate Charge values. 9) Click on the Multiple Capacitors tab on the menu bar and set the simulation environment as shown in Fig. 3. Fig. 3 10) Verify the measured values for Capacitance, Plate Charge, and Stored Energy through hand calculation.

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ELEC 2280 Electromagnetic Fields University of Windsor 11) Change C 1 from the maximum value to the minimum value and measure the electric field intensity ( E ) inside C 1 and C 2 . Explain the results.