# in a medium of dielectric constant k is introduced between the plates

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## If a dielectric introduced between the plates of a parallel plate condenser, then which of the following is possible :

Click here👆to get an answer to your question ✍️ If a dielectric introduced between the plates of a parallel plate condenser, then which of the following is possible :

Question

## If a dielectric introduced between the plates of a parallel plate condenser, then which of the following is possible :

**A**

## Decreases the electric field between the plates

**B**

## Decreases the capacity of the condenser

**C**

## Increases the charge stored in the condenser

**D**

## Increases the capacity of the condenser

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Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is D)

If a dielectric medium of dielectric constant K is filled completely between the plates then capacitance increases by K timesC ′ = d Kϵ 0 A ⇒C ′ =KC. Video Explanation

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## When a medium of dielectric constant K is introduced between the plates of a parallelplate capacitor how do thePD between the plates change

If a dielectric medium of dielectric constantK is filled completely between the parallel plates then capacitance falls by1Ktimes CAoKdqVA0KdVqdA0KVqdA0KV0KiePDisfallsto1Ktimes

NOOTAN ISC PHYSICS Class 12 Part-1>Capacitors and Dielectrics>QUESTIONS>Q 7

EASY 12th ICSE IMPORTANT Earn 100

When a medium of dielectric constant K is introduced between the plates of a parallel-plate capacitor, how do the PD between the plates change?

If a dielectric medium of dielectric constant

K

is filled completely between the parallel plates then capacitance falls by

1/K times. ε

∵ C= AεoKd or qV=A∈0Kd or Vq=dA∈0K∴ V=q.dA∈0K If q.dA∈0=constant V∝1ki.e., P.D is falls to 1Ktimes

## Important Questions on Capacitors and Dielectrics

EASY 12th ICSE IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Capacitors and Dielectrics>QUESTIONS>Q 8

A parallel-plate capacitor having vacuum between the plates has capacitance C. What will be the capacitance When the distance d between the plates is doubled.

EASY 12th ICSE IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Capacitors and Dielectrics>QUESTIONS>Q 8

A parallel-plate capacitor having vacuum between the plates has capacitance C. What will be the capacitance When a sheet of thickness t and dielectric constant K is placed between the plates? (Assume r = d.)

EASY 12th ICSE IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Capacitors and Dielectrics>QUESTIONS>Q 9

What do you mean by a dielectric? Which one out of germanium, mica and carbon is a dielectric?

## Important Points to Remember on Capacitors and Dielectrics

**1. Electrostatic potential:**

(i) Electrostatic force is a conservative force. Work done by an external force in bringing a charge

q from a point R to a point P is UP-UR

which is the difference in potential energy of charge

q

between the final and initial points.

(ii) Potential at a point is the work done per unit charge (by an external agency) in bringing a charge from infinity to that point. If potential at infinity is chosen to be zero, potential at a point with position vector

r

due to a point charge

Q

placed at the origin is given is given by,

Vr= 14πεoQr

(iii) The electrostatic potential at a point with position vector

r

due to a point dipole of dipole moment

P

placed at the origin is,

Vr= 14πεoP·r^r2

(iv) For a charge configuration

q1,q2,…,qn

with position vectors

r1, r2,…rn

the potential at a point

P

is given by the superposition principle,

V= 14πε0q1r1p+q2r2P+…+qnrnP

where r1P

is the distance between

q1 and P , as and so on.

(v) An equipotential surface is a surface over which potential has a constant value. The electric field

E

at a point is perpendicular to the equipotential surface through the point.

**2. Electrostatic potential energy:**

(i) Potential energy stored in a system of charges is the work done (by an external agency) in assembling the charges at their locations. Potential energy of two charges

q1,q2 at r1, r2 given by, U= 14πε0q1q2r12 where r12 is distance between q1 and q2 .

(ii) The potential energy of a charge

q

in an external potential

V(r) is qV(r)

. The potential energy of a dipole moment

p

in a uniform electric field

E is -p⋅E

**3. Conductor in electrostatic field:**

Electrostatics field

E

is zero in the interior of a conductor, just outside the surface of a charged conductor,

E

is normal to the surface given by

E= σε0n^ where n^

is the unit vector along the outward normal to the surface and

σ

is the surface charge density.

**4. Capacitor:**

(i) A capacitor is a system of two conductors separated by an insulator. Its capacitance is defined by

C=Q/V where Q and –Q

are the charges on the two conductors and

V

is the potential difference between them.

(ii) For a parallel plate capacitor (with vacuum between the plates),

C=ε0Ad where A

is the area of each plate and

d

the separation between them.

(iii) If the medium between the plates of a capacitor is filled with an insulating substance (dielectric), the net electric field inside the dielectric and hence the potential difference between the plates is reduced. Consequently, the capacitance

C

increases from its value

C0.

When there is no medium (vacuum),

C=KC0 where K

is the dielectric constant of the insulating substance.

**5. Combination of capacitors:**

(i) For capacitors in the series combination, the total capacitance

C is given by: 1C= 1C1+1C2+1C3+… where C1,C2,C3⋯

are individual capacitances.

(ii) In the parallel combination, the total capacitance

C is: C= C1+C2+C3+… where C1,C2,C3⋯

are individual capacitances.

**6. Energy stored in capacitor:**

(i) The energy U

stored in a capacitor of capacitance

C , with charge Q and voltage V is

U= 12QV= 12CV2= 12Q2C

(ii) The electric energy density (energy per unit volume) in a region with electric field is

## A parallel plate capacitor has a capacity c. If a medium of dielectric constant K is introduced between plates, the capacity of capacitor becomes

A parallel plate capacitor has a capacity c. If a medium of dielectric constant K is introduced between plates, the capacity of capacitor becomes

A parallel plate capacitor has a capacity c. If a medium of dielectric constant K is introduced between plates, the capacity of capacitor becomes

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Updated On: 27-06-2022

Text Solution A C K B C K 2 C K 2 C D KC Answer

The correct Answer is D

Answer

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