MCQ
A dielectric slab of thickness $d$ is inserted in a parallel plate capacitor whose negative plate is at $x = 0$ and positive plate is at $x = 3d$. The slab is equidistant from the plates. The capacitor is given some charge. As one goes from $0$ to $3d$
  • A
    The magnitude of the electric field remains the same
  • B
    The direction of the electric field remains the same
  • C
    The electric potential increases continuously
  • Both $(b)$ and $(c)$

Answer

Correct option: D.
Both $(b)$ and $(c)$
d
(d) Even after introduction of dielectric slab, direction of electric field will be perpendicular to the plates and directed from positive plate to negative plate.
Further, magnitude of electric field in air $ = \frac{\sigma }{{{\varepsilon _0}}}$
Magnitude of electric field in dielectric $ = \frac{\sigma }{{K{\varepsilon _0}}}$
Similarly electric lines always flows from higher to lower potential, therefore, electric potential increases continuously as we move from $x = 0$ to $x = 3d$.

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 source of frequency $150 Hz$ is moving in the direction of a person with a velocity of $110\, m/s$. The frequency heard by the person will be  .... $Hz$ (speed of sound in medium $= 330 m/s$)
A steel scale measures the length of a copper wire as $80.0\,cm,$ when both are at $20^\circ C$ (the calibration temperature for scale). What would be the scale read for the length of the wire when both are at $40^\circ C$ $?$ (Given $\alpha_{steel} $ = $11 \times {10^{ - 6}}$per$°C$ and $\alpha_{copper}$  = $17 \times {10^{ - 6}}per\,^\circ C$)
A particle is executing Simple Harmonic Motion $(SHM)$. The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be
From the graph between current $I$ and voltage $V$ shown below, identify the portion corresponding to negative resistance
Water falls down a $500.0 \,m$ shaft to reach a turbine which generates electricity. ................ $m^3$ water must fall per second in order to generate $1.00 \times 10^9 \,W$ of power ? (Assume $50 \%$ efficiency of conversion and $\left.g=10 \,ms ^{-2}\right)$
A long straight wire is parallel to one edge as in fig. If the current in the long wire is varies in time as $I = I_0e^{-t/\tau}$, what will be the induced $emf $ in the loop?
A transformer is employed to
Two bodies of different masses ${m_a}$ and ${m_b}$ are dropped from two different heights $a$ and $b$. The ratio of the time taken by the two to cover these distances are
An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. the radius of the loop is $a$ and distance of its centre from the wire is $d (d >> a)$. If the loop applies a force $F$ on the wire then
A thermodynamic system is taken through cyclic process. The total work done in the process is $.........\,J$