To repair a power supply for a stereo amplifier, an electronics technician needs a 100 micro-F capacitor capable of withstanding a potential difference of 90V between its plates. The only available supply is a box of five 100 micro-F capacitors, each having a maximum voltage capability of 50 V. Can the technician substitue a combination of these capacitors that has the proper electrical characteristics, and if so, what will be the maximum voltage across any of the capacitors used? [Hint: The technician may not have to use all the capacitors in the box}
The Attempt at a Solution
I just fiddled around with the combinations until I arose to one with a perfect total capacitance of 100 micro-F.
My combination: 2 series capaciators that are parallelly linked by another 2 series capacitors.
2 series capcitors= 50F 2 parallel 50F capacitors= 50F+50F=100F
I also attempted to find the maximum voltage across the capacitors and I came up with 100V for each of the 2 parallel capacitors. Since, in parallel circuits, the velocity is constant, does that mean the maximum voltage across any of the capcitors used is 100V??
If my description of my combination befuddles you, I will be glad to draw a diagram to go along with it. Thanks for your help in advance.