# Please answer with clear steps, thank you! Consider the circuit above. Before t=0 s the switch...

###### Question:

Consider the circuit above. Before t=0 s the switch is open, the top plate was charged to an amount +Q, and the bottom amount to -Q. At time t=0 s the switch is closed, and the capacitor's voltage-time graph that results is shown below. Capacitor voltage (V) 50 100 200 250 150 Time (us) The plates are separated by 2 mm, and are squares 6 cm on a side. A layer of super-dielectic (K=10000) is sandwiched between them.
The rod is 3 cm long and has a radius of 4 mm. 10 marks total - but not evenly distributed; part a involves multiple steps, while parts b-e are more single-step in tone. And please pay careful attention to the units of all given quantities! a. [7 marks] What is the material that makes up the rod? b. [0.5 marks] What were the charge states +Q of the plates before the switch was closed? c. [1 mark] What was the electric field inside the super-dielectric before the switch was closed? d. [1 mark] How much energy was stored in the capacitor initially? e. [0.5 marks] As the capacitor discharged, where did its stored energy go - that is, into what form of energy was it converted? (see the next page) Things that are required as part of your response: 1. a strategy for obtaining the answers - I need a clear description of how you will approach each part of the problem, 2. clearly labeled calculations steps, with units carried through, and 3. an assessment of each part, to be sure that you've checked that your answers are reasonable,
When you have obtained your answers, be sure that you have the clearly indicated on your work. Now write a short assessment: are the values of quantities and their directions (if appropriate) sensible? Why do you think so?

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