Question 378: Electrostatics & Capacitance

Question

Three capacitors each of 4 $$\mu $$F are to be connected in such a way that the effective capacitance is 6 $$\mu $$F. This can be done by connecting them :

Accepted Answer

(a)   $${1 \over {{C_{eq}}}} = {1 \over 4} + {1 \over 4} + {1 \over 4} = {3 \over 4}$$
$$ \Rightarrow $$   $${C_{eq}} = {4 \over 3}\,\mu F$$
(b)   $${C_{eq}} = {{4 	imes 4} \over {4 + 4}} + 4 = 6\mu F$$
(c)   $${C_{eq}} = 4 + 4 + 4 = 12\,\mu F$$
(d)   $${C_{eq}} = {{\left( {4 + 4} ight) 	imes 4} \over {\left( {4 + 4} ight) + 4}} = {8 \over 3}\mu F$$

Answer

all in series

Answer

two in series and one in parallel

Answer

all in parallel

Answer

two in parallel and one in series

Electrostatics & Capacitance

Three capacitors each of 4 $\mu F are to be connected in such a way that the effective capacitance is 6 \mu $F. This can be done by connecting them :

Choose the correct answer: