A network of 4 capacitors is connected to a b | vedclass

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

Question

(D) From the circuit diagram,capacitors $C_{1}$,$C_{2}$,and $C_{3}$ are in series with each other,and this combination is in parallel with capacitor $

Vedclass · Accepted Answer

$\frac{3}{22}$

Vedclass · Answer

(D) From the circuit diagram,capacitors $C_{1}$,$C_{2}$,and $C_{3}$ are in series with each other,and this combination is in parallel with capacitor $C_{4}$.Given: $C_{1} = C$,$C_{2} = 2C$,$C_{3} = 3C$,and $C_{4} = 4C$.The equivalent capacitance of the series combination of $C_{1}$,$C_{2}$,and $C_{3}$ is given by:$\frac{1}{C_{eq}} = \frac{1}{C_{1}} + \frac{1}{C_{2}} + \frac{1}{C_{3}} = \frac{1}{C} + \frac{1}{2C} + \frac{1}{3C} = \frac{6+3+2}{6C} = \frac{11}{6C}$$\Rightarrow C_{eq} = \frac{6}{11}C$The charge on the series combination (which is the same for each capacitor $C_{1}$,$C_{2}$,and $C_{3}$) is:$Q_{series} = C_{eq} V = \frac{6}{11}CV$Since $C_{2}$ is in this series branch,the charge on $C_{2}$ is $Q_{2} = \frac{6}{11}CV$.The charge on capacitor $C_{4}$ (which is in parallel with the battery) is:$Q_{4} = C_{4} V = (4C)V = 4CV$The ratio of the charges on $C_{2}$ and $C_{4}$ is:$\frac{Q_{2}}{Q_{4}} = \frac{\frac{6}{11}CV}{4CV} = \frac{6}{11 	imes 4} = \frac{6}{44} = \frac{3}{22}$

$A$ network of $4$ capacitors is connected to a battery as shown. The ratio of the charges on capacitors $C_{2}$ and $C_{4}$ is

Similar Questions

The charge on the capacitor of capacitance $15 \; \mu F$ in the figure given below is $\dots \; \mu C$.

All six capacitors shown are identical. Each can withstand a maximum of $200\, V$ between its terminals. The maximum voltage that can be safely applied between $A$ and $B$ is.....$V$

In the figure,the area of each plate is $A$ and the distance between consecutive plates is as shown in the figure. What is the effective capacitance between points $A$ and $B$?

The value of equivalent capacitance of the combination shown in the figure between the points $P$ and $Q$ is

When two identical capacitors are in series,they have $3\,\mu F$ capacitance,and when in parallel,they have $12\,\mu F$ capacitance. What is the capacitance of each capacitor in $\mu F$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module