Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point

Q: Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance $C$ if the equivalent capacitance between point $A$ and $B$ is to be $1\,\mu F$ is

a Capacitors $2\, \mu \mathrm{F}$ and $2\, \mu \mathrm{F}$ are parallel, their equivalent $=4\, \mu \mathrm{F}$ $6 \,\mu \mathrm{F}$ and $12\, \mu \mathrm{F}$ are in series, their equivalent $=4\, \mu \mathrm{F}$ Now $4 \,\mu F(2 \text { and } 2\, \mu F)$ and $8\, \mu F$ in series $=\frac{3}{8}\, \mu F$ And $4\, \mu \mathrm{F}(12 \& 6\, \mu \mathrm{F})$ and $4\, \mu \mathrm{F}$ in parallel $=4+4=8\, \mu \mathrm{F}$ $8\, \mu \mathrm{F}$ in series with $1\, \mu \mathrm{F}=\frac{1}{8}+1 \Rightarrow \frac{8}{9}\, \mu \mathrm{F}$ Now $C_{e q}=\frac{8}{9}+\frac{8}{3}=\frac{32}{9}$ $C_{eq}$ of circuit $=\frac{32}{9}$ With $C-\frac{1}{C_{e q}}=\frac{1}{C}+\frac{9}{32}=1 \Rightarrow C=\frac{32}{23}$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance $C$ if the equivalent capacitance between point $A$ and $B$ is to be $1\,\mu F$ is

A$\frac{{32}}{{23}}\,\mu F$
B$\frac{{31}}{{23}}\,\mu F$
C$\frac{{33}}{{23}}\,\mu F$
D$\frac{{34}}{{23}}\,\mu F$

JEE MAIN 2016, Diffcult

STD 11 Science
NEET
STD 12 - 2. Electric potential and capacitance
Physics

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Download App

Similar Questions

1
The four identical capacitors in the circuit shown below are initially uncharged. The switch is then thrown first to position $A$, and then to position $B$. After this is done:

Note: $V_{1,2,3,4}$ are the potential differences across $C_{1,2,3,4}$ and $Q_{1,2,3,4}$ are the final charges stored in $C_{1,2,3,4}$ respectively.
View Solution
2
The potential at a distance $R/2$ from the centre of a conducting sphere of radius $ R$ will be
View Solution
3
Between the plates of a parallel plate condenser there is $1\,mm$ thick paper of dielectric constant $4$. It is charged at $100\;volt$. The electric field in $volt/metre$ between the plates of the capacitor is
View Solution
4
The distance between ${H^ + }$ and $C{l^ - }$ ions in $HCl$ molecule is $1.28\,\mathop A\limits^o $. What will be the potential due to this dipole at a distance of $12\,\mathop A\limits^o $ on the axis of dipole......$V$
View Solution
5
Three identical capacitors are combined differently. For the same voltage to each combination, the one that stores the greatest energy is
View Solution
6
A capacitor $C$ is fully charged with voltage $V _{0}$ After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance $\frac{ C }{2} .$ The energy loss in the process after the charge is distributed between the two capacitors is$.........$$CV _{0}^{2}$
View Solution
7
A $4\,\mu F$ condenser is connected in parallel to another condenser of $8\,\mu F$. Both the condensers are then connected in series with a $12\,\mu F$ condenser and charged to $20\;volts$. The charge on the plate of $4\,\mu F$ condenser is......$\mu C$
View Solution
8
A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be
View Solution
9
For the circuit shown, which of the following statements is true
View Solution
10
Three charges $2 q,-q$ and $-q$ are located at the vertices of an equilateral triangle. At the center of the triangle
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free