You need a capacitance of , but you don’t happen to have a capacitor. You do have a capacitor. What additional capacitor do you need to produce a total capacitance of ? Should you join the two capacitors in parallel or in series?
The capacitance of additional capacitor isand should be connected in series.
We have given a total capacitance of .
We need to find Should we join the two capacitors in parallel or in series.
As we want capacitance but we only have a capacitor. Note, could technically have a capacitor if we wanted to install it in parallel.
Since negative capacitance is not possible. So, we have to place them in a series. Considering the series formula for capacitance
We we need to arrive at capacitance, . thus,our setup becomes
From here we solve for .
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