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 thern
JEE MAIN 2016, Diffcult
Download our app for free and get started
To get effective capacitance of $6\,\mu F$ two capacitors of $4\, \mu \mathrm{F}$ each connected in series and one of $4\, \mu \mathrm{F}$ capacitor in parallel with them.
Two capacitances in series
$\therefore \frac{1}{C}=\frac{1}{C_{1}}+\frac{1}{C_{2}}=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}$
$1$ capacitor in parallel
$\therefore $ $C_{\mathrm{eq}}=C_{3}+C=4+2=6\, \mu \mathrm{F}$
Download our appand 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.*
Similar Questions
- 1A non-conducting ring of radius $0.5\,m$ carries a total charge of $1.11 \times {10^{ - 10}}\,C$ distributed non-uniformly on its circumference producing an electric field $\vec E$ everywhere in space. The value of the line integral $\int_{l = \infty }^{l = 0} {\, - \overrightarrow E .\overrightarrow {dl} } \,(l = 0$ being centre of the ring) in volt isView Solution
- 2Two identical thin rings each of radius $R$ meters are coaxially placed at a distance $R$ meters apart. If $Q_1$ coulomb and $Q_2$ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge $q$ from the centre of one ring to that of other isView Solution
- 3In the given network capacitance, ${C_1} = 10\,\mu \,F,\,{C_2} = 5\,\mu \,F$ and ${C_3} = 4\,\mu \,F$. What is the resultant capacitance between $A$ and $B$.......$\mu \,F$View Solution
- 4View SolutionA conductor with a positive charge
- 5An electric dipole is placed on the $x-$axis as shown in the figure. Consider a spherical closed surface around it. ThenView Solution
- 6A uniformly charged ring of radius $3a$ and total charge $q$ is placed in $xy-$ plane centered at origin. A point charge $q$ is moving towards the ring along the $z-$ axis and has speed $v$ at $z = 4a$. The minimum value of $v$ such that it crosses the origin isView Solution
- 7The capacitance $(C)$ for an isolated conducting sphere of radius $(a)$ is given by $4\pi \varepsilon_0a$. If the sphere is enclosed with an earthed concentric sphere. The ratio of the radii of the spheres $\frac{n}{{(n - 1)}}$ being then the capacitance of such a sphere will be increased by a factorView Solution
- 8Figure shows a charged conductor resting on an insulating stand. If at the point $P$ the charge density is $\sigma $, the potential is $V$ and the electric field strength is $E$, what are the values of these quantities at point $Q$View Solution
Charge density potential Electric intensity
- 9$A$ and $B$ are two concentric spheres. If $A$ is given a charge $Q$ while $B$ is earthed as shownView Solution
- 10View SolutionWhen a test charge is brought in from infinity along the perpendicular bisector of an electric dipole, the work done is ..........