Question

Show that the effective capacitance c of a series combination of three capacitors c1, c2 and c3 is given by

Answer 1

Answer with Explanation:

Let three capacitor of capacitance

$C_1,C_2$ and $C_3$ are connected in series.

Current passing through each capacitor is same, therefore, charge on each capacitor is same and potential difference across three capacitor are $V_1,V_2$ and $V_3$.

Total potential difference

$V=V_1+V_2+V_3$

We know that

$V=\frac{Q}{C}$

Using the formula

$\frac{Q}{C}=\frac{Q}{C_1}+\frac{Q}{C_2}+\frac{Q}{C_3}$

$\frac{Q}{C}=Q(\frac{C_2C_3+C_3C_1+C_1C_2}{C_1C_2C_3}$

$C=\frac{C_1C_2C_3}{C_2C_3+C_3C_1+C_1C_2}$

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https://brainly.in/question/6270896:Answered by Susain