Q 1 :    

An electric dipole is placed as shown in the figure. The electric potential (in 102 V) at point P due to the dipole is (ε0=permittivity of free space and 14πε0=K)   [2023]

[IMAGE 135]
 

  • (85)qK

     

  • (83)qK

     

  • (38)qK

     

  • (58)qK

     

(3)

Here, the dipole distance is nearly equal to the distance between the point P thus, we cannot apply the dipole formula directly. We have to calculate the potential. Hence, electric potential due to charge q is given by,

due to individual charges

Potential due to charge 'q' at point 'P' is

         Vq=14πε0qr=Kq1(R)×10-2=Kq(102)2                      ...(i)

Potential due to charge '-q' at point 'P' is,

        V-q=14πε0(-q)(8×10-2)=-Kq(102)8                                 ...(ii)

From equations (i) and (ii), we get

        Vnet=Kq(102)(12-18)

        Vnet=(38)qk(102)V



Q 2 :    

Two point charges -q and +q are placed at a distance of L, as shown in the figure. The magnitude of electric field intensity at a distance R (RL) varies as    [2022]

[IMAGE 136]
 

  • 1R2

     

  • 1R3

     

  • 1R4

     

  • 1R6

     

(2)

Since, RL, the given charge configuration can be treated as dipole.

Electric field due to a dipole at any arbitrary point (R,θ) is

E=p4πε0R33cos2θ+1

Here, E1R3.



Q 3 :    

Polar molecular are the molecules                [2021]

  • having a permanent electric dipole moment.

     

  • having zero dipole moment.

     

  • acquire a dipole moment only in the presence of electric field due to displacement of charges.

     

  • acquire a dipole moment only when magnetic field is absent.

     

(1)

The polar molecules are the molecules have one end slightly positive and other end is slightly negatively charged separated by some distance.
So, they have permanent electric dipole moment.