Four equal capacitors,each of capacity C,are | vedclass

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

Question

(C) The circuit consists of a capacitor in series with two parallel capacitors,all of which are in parallel with a fourth capacitor.$1$. First,conside

Vedclass · Accepted Answer

$\frac{5}{3}\,C$

Vedclass · Answer

(C) The circuit consists of a capacitor in series with two parallel capacitors,all of which are in parallel with a fourth capacitor.$1$. First,consider the two capacitors connected in parallel. Their equivalent capacitance is $C_p = C + C = 2C$.$2$. This combination is in series with the third capacitor of capacitance $C$. The equivalent capacitance of this series branch is $C_s = \frac{C 	imes 2C}{C + 2C} = \frac{2C^2}{3C} = \frac{2}{3}C$.$3$. Finally,this branch is in parallel with the fourth capacitor of capacitance $C$. The total effective capacitance between $A$ and $B$ is $C_{AB} = C_s + C = \frac{2}{3}C + C = \frac{5}{3}C$.

Four equal capacitors,each of capacity $C$,are arranged as shown. The effective capacitance between $A$ and $B$ is

Similar Questions

Which quantity is same in each capacitor of series connection?

The capacitors of capacity $C_1$ and $C_2$ are connected in parallel,then the equivalent capacitance is:

In the given circuit,what is the potential difference across the $6\, \mu F$ capacitor in volts?

Two capacitors of values $0.6 \ \mu F$ and $0.3 \ \mu F$ are connected in series with a $6 \ V$ source. Find the ratio of energy stored in each capacitor.

Two capacitors of capacitances $1 \ \mu F$ and $2 \ \mu F$ can separately withstand potentials of $6 \ kV$ and $4 \ kV$ respectively. The total potential they together can withstand when they are connected in series is (in $kV$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module