Question

minimum number of capacitors of 2uf each required to obtain a capacitance of 5uf will be

Answer 1

Your answer is 4 capcitors are required

Answer 2

The minimum number of capacitors of $2\ \mu F$ each required to obtain a capacitance of $5\ \mu F$ are 4.

Explanation:

We need to find the minimum number of capacitors of $2\ \mu F$ each required to obtain a capacitance of $5\ \mu F$.

Let two capacitors are connected in parallel. Their equivalent will be :

$C=2+2=4\ \mu F$

Now, let 2 capacitors are connected in series. Their equivalent will be :

$\dfrac{1}{C'}=\dfrac{1}{2}+\dfrac{1}{2}\\\\C'=1\ \mu F$

Again C and C' are connected in series. Finally, the equivalent iss :

$C_{eq}=4+1=5\ \mu F$

Hence, minimum number of capacitors of $2\ \mu F$ each required to obtain a capacitance of $5\ \mu F$ are 4.

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Equivalent capacitance

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