When three capacitors of equal capacities are | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the capacity of each capacitor be $C$.Three capacitors of capacity $C$ are connected in parallel. Their equivalent capacity is $C_p = C + C +

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(B) Let the capacity of each capacitor be $C$.Three capacitors of capacity $C$ are connected in parallel. Their equivalent capacity is $C_p = C + C + C = 3C$.This combination is connected in series with another capacitor of capacity $C$.The equivalent capacity $C_{eq}$ of the series combination is given by:$\frac{1}{C_{eq}} = \frac{1}{C_p} + \frac{1}{C} = \frac{1}{3C} + \frac{1}{C} = \frac{1+3}{3C} = \frac{4}{3C}$.Therefore,$C_{eq} = \frac{3C}{4}$.Given $C_{eq} = 4.5 \mu F$,we have:$4.5 = \frac{3C}{4}$$C = \frac{4.5 	imes 4}{3} = 1.5 	imes 4 = 6 \mu F$.

When three capacitors of equal capacities are connected in parallel and one of the same capacity is connected in series with the combination,the resultant capacity is $4.5 \mu F$. The capacity of each capacitor is: (in $\mu F$)

Similar Questions

As shown in the figure, a potential of $+1200\, V$ is applied at point $A$, and point $B$ is kept at zero potential. Then the electric potential at point $P$ is.....$V$

Two capacitors $C_1$ and $C_2$ in a circuit are joined as shown in the figure. The potential of point $A$ is $V_1$ and that of point $B$ is $V_2$. The potential at point $D$ will be

$A$ circuit has a section $AB$ as shown in the figure. If the potential difference between points $A$ and $B$ is $V$ volts,then the potential difference across $C_1$ is

$A$ network of four capacitors with capacitances $C_1 = C$,$C_2 = 2C$,$C_3 = 3C$,and $C_4 = 4C$ is connected to a battery as shown in the figure. The ratio of the charges on $C_2$ and $C_4$ is

How will you connect four capacitors,each of capacitance $4 \mu F$,to obtain an equivalent capacitance of $1.6 \mu F$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module