MCQ
If there are $n$ capacitors in parallel connected to $V$ volt source, then the energy stored is equal to
- A$CV$
- ✓$\frac{1}{2}nC{V^2}$
- C$C{V^2}$
- D$\frac{1}{{2n}}C{V^2}$
✓
Answer
Correct option: B.
$\frac{1}{2}nC{V^2}$
b
(b) $U = \frac{1}{2}{C_{eq}}{V^2} = \frac{1}{2}(nC){V^2}$
(b) $U = \frac{1}{2}{C_{eq}}{V^2} = \frac{1}{2}(nC){V^2}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
$n$ identical cells each of $e.m.f.$ $E$ and internal resistance $r$ are connected in series. An external resistance $R$ is connected in series to this combination. The current through $R$ is
→A ball of mass $0.5 \ kg$ is attached to a string of length $50 \ cm$ . The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is $400 N$ . The maximum possible value of angular velocity of the ball in $\text{rad/s}$ is,:
→The ratio of period of oscillation of the conical pendulum to that of the simple pendulum is : (Assume the strings are of the same length in the two cases and $\theta$ is the angle made by the string with the verticla in case of conical pendulum)
→A uniform circular disc of radius ' $R$ ' and mass ' $M$ ' is rotating about an axis perpendicular to its plane and passing through its centre. A small circular part of radius $R / 2$ is removed from the original disc as shown in the figure. Find the moment of inertia of the remaining part of the original disc about the axis as given above.
→The potential difference applied to an $X-$ ray tube is increased. As a result, in the emitted radiation
→The equivalent resistance of a group of resistances is $R$. If another resistance is connected in parallel to the group , its new equivalent becomes $R_1$ and if it is connected in series to the group , its new equivalent becomes $R_2$ we have :
→A block of mass m is placed on a surface having vertical cross section given by $y=x^2 / 4$. If coefficient of friction is $0.5,$ the maximum height above the ground at which block can be placed without slipping is :
→Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : If oxygen ion $\left(\mathrm{O}^{-2}\right)$ and Hydrogen ion $\left(\mathrm{H}^{+}\right)$enter normal to the magnetic field with equal momentum, then the path of $\mathrm{O}^{-2}$ ion has a smaller curvature than that of $\mathrm{H}^{+}$.
Reason R : A proton with same linear momentum as an electron will form a path of smaller radius of curvature on entering a uniform magnetic field perpendicularly.
In the light of the above statement, choose the correct answer from the options given below
→Assertion A : If oxygen ion $\left(\mathrm{O}^{-2}\right)$ and Hydrogen ion $\left(\mathrm{H}^{+}\right)$enter normal to the magnetic field with equal momentum, then the path of $\mathrm{O}^{-2}$ ion has a smaller curvature than that of $\mathrm{H}^{+}$.
Reason R : A proton with same linear momentum as an electron will form a path of smaller radius of curvature on entering a uniform magnetic field perpendicularly.
In the light of the above statement, choose the correct answer from the options given below
The maximum horizontal range of a projectile is $400\, m$. The maximum value of height attained by it will be ......... $m$
→A nucleus with mass number $220$ initially at rest emits an $\alpha -$ particle. If the $Q$ value of reaction is $7.8\ MeV$ and subsequently after the emission of $\alpha -$ particle, a photon of energy $1.2\ MeV$ is also emitted. The kinetic energy of $\alpha -$ particle is ? .......... $MeV$
→