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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

    Medium Open in App

    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 times

    C ′ = d Kϵ 0 ​ A ​ ⇒C ′ =KC. Video Explanation

    Solve any question of Electrostatic Potential and Capacitance with:-

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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

    स्रोत : www.embibe.com

    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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    TARGET PUBLICATION-ELECTROSTATICS-EVALUATION TEST

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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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