✓ Board-verified
Physics · 2024 · 4 marks
Electrostatic Potential and CapacitanceEffect of Dielectric on Capacitance4 marksUnderstandcase study
CBSE 2024 · Region 5 · Set 2 · Q30
Dielectrics play an important role in design of capacitors. The molecules of a dielectric may be polar or non-polar. When a dielectric slab is placed…
Dielectrics play an important role in design of capacitors. The molecules of a dielectric may be polar or non-polar. When a dielectric slab is placed in an external electric field, opposite charges appear on the two surfaces of the slab perpendicular to electric field. Due to this an electric field is established inside the dielectric. The capacitance of a capacitor is determined by the dielectric constant of the material that fills the space between the plates. Consequently, the energy storage capacity of a capacitor is also affected. Like resistors, capacitors can also be arranged in series and/or parallel.
(i)
Which of the following is a polar molecule?
(A)
$\displaystyle \mathrm{O}_{2}$
(B)
$\displaystyle \mathrm{H}_{2}$
(C)
$\displaystyle \mathrm{N}_{2}$
(D)
HCl
(ii)
Which of the following statements about dielectrics is correct?
(A)
A polar dielectric has a net dipole moment in absence of an external electric field which gets modified due to the induced dipoles.
(B)
The net dipole moments of induced dipoles is along the direction of the applied electric field.
(C)
Dielectrics contain free charges.
(D)
The electric field produced due to induced surface charges inside a dielectric is along the external electric field.
(iii)
When a dielectric slab is inserted between the plates of an isolated charged capacitor, the energy stored in it :
(A)
increases and the electric field inside it also increases.
(B)
decreases and the electric field also decreases.
(C)
decreases and the electric field increases.
(D)
increases and the electric field decreases.
(iv)
An air-filled capacitor with plate area A and plate separation d has capacitance $\displaystyle \mathrm{C}_{0}$. A slab of dielectric constant $\displaystyle \mathrm{K}$, area $\displaystyle A$ and thickness $\displaystyle \left(\frac{\mathrm{d}}{5}\right)$ is inserted between the plates. The capacitance of the capacitor will become
(A)
$\displaystyle \left[\frac{4 \mathrm{~K}}{5 \mathrm{~K}+1}\right] \mathrm{C}_{0}$
(B)
$\displaystyle \left[\frac{\mathrm{K}+5}{4}\right] \mathrm{C}_{0}$
(C)
$\displaystyle \left[\frac{5 \mathrm{~K}}{4 \mathrm{~K}+1}\right] \mathrm{C}_{0}$
(D)
$\displaystyle \left[\frac{\mathrm{K}+4}{5 \mathrm{~K}}\right] \mathrm{C}_{0}$
Two capacitors of capacitances $\displaystyle 2 \mathrm{C}_{0}$ and $\displaystyle 6 \mathrm{C}_{0}$ are first connected in series and then in parallel across the same battery. The ratio of energies stored in series combination to that in parallel is
(A)
$\displaystyle \frac{1}{4}$
(B)
$\displaystyle \frac{1}{6}$
(C)
$\displaystyle \frac{2}{15}$
(D)
$\displaystyle \frac{3}{16}$
Marking-scheme solution
(i)(D)
HCl
(ii)(B)
The net dipole moment of induced dipoles is along the direction of the applied electric field.
(iii)(B)
decreases and the electric field also decreases.
(iv)(a)
(C) $\displaystyle \left[\frac{5 K}{4 K+1}\right] C_{0}$
OR
(b)(D)
$\displaystyle \frac{3}{16}$
All Electrostatic Potential and Capacitance questions2024 question paperNCERT solutions: Electrostatic Potential and CapacitancePractice Electrostatic Potential and Capacitance →
More from Electrostatic Potential and Capacitance
- (i) A parallel plate capacitor with plate area A and plate separation d has a capacitance C_0. A slab of dielectric constant K having area A and…2025
- (i) In the figure, OA and OB show the variation of electric potential V at a point due to two point charges Q_1 and Q_2 with 1/r respectively. Here r…2026
- A point charge q_0 is moving along a circular path of radius a, with a point charge -Q at the centre of the circle. The kinetic energy of q_0 is2023
- The effective capacitance of the network between points A and B shown in the figure is:2025
- Two metal spheres of radii r_1 and r_2(>r_1) having charges q_1 and q_2 respectively kept in air, are brought in contact. Which of the following…2026
- (i) Explain the following statements giving reason: (I) An equipotential surface through a point is normal to the electric field at that point. (II)…2026
- A parallel plate capacitor has plate area A and plate separation d. Half of the space between the plates is filled with a material of dielectric…2025
- A thin spherical conducting shell of radius R has a charge q. A point charge Q is placed at the centre of the shell. Find (i) the charge density on…2024
CBSE Class 12 Physics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.