The effective capacitances of two capacitors are $3\,\mu F$ and $16\,\mu F$, when they are connected in series and parallel respectively. The capacitance of two capacitors are
A$10\,\mu F , 6\,\mu F$
B$8\,\mu F , 8\,\mu F$
C$12\,\mu F , 4\,\mu F$
D$1.2\,\mu F , 1.8\,\mu F$
NEET 2022, Medium
Download our app for free and get started
C$12\,\mu F , 4\,\mu F$
c $\frac{ C _1 C _2}{ C _1+ C _2}=3$
$C _1+ C _2=16$
$C _1 C _2=48$
$C _1=12\,\mu F$
$C _2=4\,\mu F$
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.*
A number of capacitors each of capacitance $1\,\mu F$ and each one of which get punctured if a potential difference just exceeding $500\,volt$ is applied, are provide, then an arrangement suitable for givin a capacitance of $2\,\mu F$ across which $3000\,volt$ may be applied requires at least
A particle of charge $Q$ and mass $M$ moves in a circular path of radius $R$ in a uniform magnetic field of magnitude $B$. The same particle now moves with the same speed in a circular path of same radius $R$ in the space between the cylindrical electrodes of the cylindrical capacitor. The radius of the inner electrode is $R/2$ while that of the outer electrode is $ 3R/2.$ Then the potential difference between the capacitor electrodes must be
A square of side ‘$a$’ has charge $Q$ at its centre and charge ‘$q$’ at one of the corners. The work required to be done in moving the charge ‘$q$’ from the corner to the diagonally opposite corner is
If the potential at the centre of a uniformly charged hollow sphere of radius $R$ is $V$ then electric field at a distance $r$ from the centre of the sphere is $(r > R)$
A $60\; pF$ capacitor is fully charged by a $20\; \mathrm{V}$ supply. It is then disconnected from the supply and is connected to another uncharged $60 \;pF$ capactior is parallel. The electrostatic energy that is lost in this process by the time the charge is redistributed between them is (in $nJ$)
Uniform electric field of magnitude $ 100$ $V/m$ in space is directed along the line $y$ $=$ $3$ $+$ $x$. Find .........$V$ the potential difference between point $A (3, 1)$ $ \&$ $ B$ $ (1, 3)$
Electric potential in a region is varying according to the relation $V=\frac{3 x^2}{2}-\frac{y^2}{4}$, where $x$ and $y$ are in metre and $V$ is in volt. Electric field intensity (in $N/C$) at a point $(1 \,m , 2 \,m$ ) is ......
For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant $K$ is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is $\frac{3}{4} d$, where $'d'$ is the separation between the plates of parallel plate capacitor. The new capacitance $(C')$ in terms of original capacitance $\left( C _{0}\right)$ is given by the following relation