Electromagnetic Theory Question

A parallel plate capacitor with plates of area A and plate separation d has the region between the plates filled with two dielectric materials (ε1 and ε2) as shown in the figure. Determine the capacitance and show that when ε1= ε2= ε your result becomes the same as that for a capacitor containing a single dielectric: See attached file for full problem description. Only #7

Electromagnetic Theory Question

8. You have been hired to determine the internal resistance of 8.0 μF capacitor for an electronic component manufacturer. (Ideal capacitors have an infinite internal resistance – that is, the material between their plates is a perfect insulator. In practice, however, the material has a very small, but nonzero, conductivity.) You cannot simply connect the capacitors to an ohmmeter, because their resistance is too large for an ohmmeter to measure. Therefore you charge the capacitor to a potential difference of 10 V with a battery, disconnect it from the battery and measure the potential difference across the capacitor every 20 minutes with an ideal voltmeter, obtaining the graph shown. Us... click for more

Electomagnetic Theory Question

9. In the circuit shown, the switch S is initially open and capacitor C is initially uncharged. The battery has an emf of 20 V negligible internal resistance. Resistor R1 has resistance of 15 kΩ and the capacitor C has a capacitance of 20 μF. Determine the voltage across resistor R2 immediately after and long time after the switch is closed. What energy is stored in the capacitor a long time after the switch is closed? See attached file for full problem description. Only #9

Electromagnetic Theory Question

10. In the circuit shown resistors 1 and 2 of resistance R1 and R2 respectively, and an inductor of inductance L are connected to a battery of emf ε and a switch S. The switch is closed at time t = 0. Sketch a graph of the current through the battery as a function of time. See attached file for full problem description. Only #10

Electromagnetic Theory Question

12. For the network shown in the figure, prove that the resistance See attached file for full problem description. Only #12