Consider a circuit with two bulbs, a switch and a capacitor connected to an idea

Question

Consider a circuit with two bulbs, a switch and a capacitor connected to an ideal battery in the arrangement shown on the right. What do you think will happen to the brightness of each of the two bulbs from the time the switch is first closed to a long time afterwards? Hint: What will the voltage across C be when the switch is first closed? How about after a long time? The diagram can be found at Problem 11 on this link: http://people.westminstercollege.edu/faculty/kphilippi/27_Unit_24/Homework_24.pdf

Explanation / Answer

Immediately after the switch is closed, the voltage across the capacitor is zero. Therefore, the voltage across the each bulb is same and half of the voltage of the battery. therefore, the brightness of the two bulbs immediately after the swich closed is same.

after a long time, the voltage across the capacitor is maximum. therefore, the voltage across bulb 1 is also maximum (parallel with the capacitor). Now the voltage across the bulb 2 is tends to zero. Therefore, the brightness of the bulb 1 is maximum and bulb 2 is approximetely is zero.

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