A question involvingn safe working voltage and capacitors?

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SUMMARY

The discussion focuses on connecting capacitors marked 48uF with a safe working voltage of 25V to achieve specific capacitance and voltage requirements. For part (a), the solution involves connecting two capacitors in series to achieve a total capacitance of 48uF while ensuring that the voltage across each capacitor remains below 25V. For part (b), the correct configuration is to connect two capacitors in parallel with an additional capacitor to achieve a total capacitance of 72uF at a safe working voltage of 25V.

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1. Problem Statement
Some capacitors are marked 48uF, safe working voltage 25V.
Show how a number of these capacitors may be connected to provide a capacitor of capacitance:
a) 48uF, safe wroking voltage 50V
b) 72uF, safe working voltage 25V


Homework Equations


obviously C total in parallel = c1 + C2... and 1 / C total in series = 1/ C1 + 1 / C2


3. Attempt at the Solution
for part a) i thought you could have two of the capacitors in parallel, followed in series by another two capacitors in parallel for b) i didnt really have a clue, but perhaps two in series? (im probably wrong!)

the answers state that for part a) "two capacitors in series", such that V < 25V across each capacitor.
for part b)"two capacitors in parallel with a single capacitor"

what is the safe working voltage??
 
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Hint: what is the safe energy in the original capacitor set up?
 

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