You have a large supply of lightbulbs and a single battery. You start with one lightbulb connected to the battery and notice its brightness. You then add one lightbulb at a time, each new lightbulb being added in parallel to the previous lightbulbs. As the lightbulbs are added, what happens to (a) the terminal voltage of the battery, (b) the brightness of each lightbulb, (c) the current in each lightbulb, (d) the power delivered by the battery, (e) to the lifetime of the battery.
Assume the lightbulbs to be ohmic and do not ignore internal resistance of the battery.
Thanks for any help!
V = IR
P = IV
The Attempt at a Solution
(a) The terminal voltage of the battery would stay the same because as more and more lightbulbs are added the Req decreases so the total current would increase.
(b) The brightness of each lightbulb would increase because the total current increased. P = IV so an incresed current means and increased power. The larger the power, the brighter the bulb.
(c) The current in each lightbulb increses because the total current increased. That means that there was more current to enter each junction.
(d) The power delivered by the battery would also increase. If the total current increased and the total voltage stayed constant, the power delivered by the battery would have to increase.
(e) The lifetime of the battery would decrease since it delivers a greater power.
Thank you for any help! I'm not sure if any of my explanations make sense.