You are asked to design a circuit with a capacitance of 47µF and you have a whole box of assorted capacitors. Of course, there is everything but a 47µF capacitor in the box! The nicest capacitor in the box has a value of 100µF. What other value of a single capacitor could you combine with it to create the capacitance you need. Draw a circuit diagram showing how you would wire the combination. Would you wire it in series or parallel?
Here ,
as the capacitance needed is less than the 100 uF
the capacitors must be connected in series
Ceq = 47 uF
C1 = 100 uF
let the capacitor needed is C2
for a series connection
1/Ceq = 1/C2 + 1/C1
1/47 = 1/100 + 1/C2
C2 = 88.7 uF
the capacitor neededis 88.7 uF

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