MCQ
The separation between the plates of a charged parallel-plate capacitor is increased. Which of the following quantities will change?
  • A
    Charge on the capacitor.
  • B
    Potential difference across the capacitor.
  • C
    Energy of the capacitor.
  • D
    Energy density between the plates.

Answer

  1. Potential difference across the capacitor.
  2. Energy of the capacitor.

Explanation:

Because the charge always remains conserved in an isolated system, it will remain the same.

Now,

$\text{V}=\frac{\text{Qd}}{\in_0\text{A}}$

Here, Q, A and d are the charge, area and distance between the plates, respectively.

Thus, as d increases, V increases.

Energy is given by:

$\text{E}=\frac{\text{qV}}{2}$ 

So, it will also increase.

Energy density u, that is, energy stored per unit volume in the electric field is given by:

$\text{u}=\frac{1}{2}\in_0\text{E}^2$

So, u will remain constant with increase in distance between the plates.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A girl brings a positively charged rod near a thin neutral stream of water flowing from a tap. She observes, that the water stream, bends towards her. Instead, if she is to bring a negativity charged rod near to the stream, it will:

In case of a semiconductor, which of the following statement is wrong

(a) Doping increases conductivity

(b) Temperature coefficient of resistance is negative

(c) Resisitivity is in between that of a conductor and insulator

(d) At absolute zero temperature, it behaves like a conductor

A wheel with 10 metallic spokes each 0.5 m long is rotated with a speed of $120 rev / min$ in a plane normal to the horizontal component of earth's magnetic field $H _{ E }$ at a place. If $H _{ E }=0.4 G$ at the place, then induced $emf =$ ___________ $\left(1 G =10^{-4} T\right)$

A bar magnet of length 10 cm and having the pole strength equal to 10–3 weber is kept in a magnetic field having magnetic induction (B) equal to  Tesla. It makes an angle of 30o with the direction of magnetic induction. The value of the torque acting on the magnet is

(

(a) 2π

(b) 2 π

(c) 0.5 N  m

(d) 0.5  m

Resistors are generally colour coded to:

The speed of an electron having a wavelength of  is

(a) 7.25  

(b) 6.26  

(c) 5.25  

(d) 4.24  

A charge +Q is moving upwards vertically. It enters a magnetic field directed to the north. The force on the charge will be towards

(a) North   

(b) South

(c) East   

(d) West

The dimensions of electric flux are:
A river is flowing from west to east at a speed of 5 metres per minute. A man on the south bank of the river, capable of swimming at 10 metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction:
  1. Due north.
  2. 30° east of north.
  3. 30° north of west.
  4. 60° east of north.
Two rays A and B being reflected by a mirror and going as A' and B'. The mirror:
  1. Is plane.
  2. Is convex.
  3. Is concave.
  4. May be any spherical mirror.