Question

The equivalent capacitance of three equal capacitors. connected in series combination is 6uF. If these. three capacitors are connected in parallel

Answer 1

Answer:

Equivalent capacitance is equal to 54 u F

Answer 2

Equivalent capacitance will be $54\mu F$

Explanation:

Let the capacitance of each capacitor is C

So $C_1=C_2=C_3=C$

When these capacitors are connected in series their equivalent capacitance is $6\mu F$

So $\frac{1}{C}+\frac{1}{C}+\frac{1}{C}=\frac{1}{6}$

$\frac{3}{C}=\frac{1}{6}$

$C=18\mu F$

When these capacitors are connected in parallel then equivalent capacitance $=C+C+C=18+18+18=54\mu F$

So in parallel equivalent capacitance will be $54\mu F$

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Three capacitors are connected in series. derive an expression for the equivalent capacitors

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