Alight bulb is in a circuit with a capacitor. the switch is flipped to position a and left there for a long time. describe what happens to the brightness of the bulb. now the switch 2 + − ++ −− +++ −−− is flipped to position b. again describe what happens to the brightness of the bulb. (in a class demonstration, we saw that there was a delay for some bulbs to light since they had to heat up sufficiently. assume that those delays are negligible here.) b: start from the beginning again. the switch is flipped to position a. determine the voltage across the capacitor 2.5 s later. use ε = 50 v, r = 250 ω and c = 5000 μf. c: at the 2.5 s mark, the switch is suddenly flipped to position b. determine the voltage across the light bulb 1 s later. d: verify that the energy stored in the capacitor (at the 2.5 s mark) is all lost in the resistor when the capacitor discharges. e: redo part c if there was also a 100 ω resistor in the top branch of the circuit.