Question

The equivalent capacitance of capacitors $6\mu F$ and $3\mu F$ connected in series is ______.

• A. $3\mu f$
• B. $2\mu f$
• C. $4\mu f$
• D. $6\mu f$

Answer 1

The correct option is B $2\mu f$

We know the equivalent capacitance of capacitors connected in series can be found by using

$\frac{1}{C_{eq}}$$=\frac{1}{C_1}$$+\frac{1}{C_2}$$+\frac{1}{C_3}+...$

$\frac{1}{C_{eq}}$$=\frac{1}{6}$$+\frac{1}{3}$

$\Rightarrow C_{eq}=\frac{3\times 6}{3+6}=2\mu F$

Therefore, B is correct option.