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TOPIC - 1

                                                                                  Electric field

                                                                                  Sub Topic: 1.2

QUESTION                                                   SOLUTION                                                    Marking  TIPS & EXPLANATION
(a)	 Derive an expression for the electric field E        (a)                                                         Scheme
                                                                                                                                Tips:
        due to a dipole of length '2a' at a point distant                                                                 [1]
                                                                                                                                (a)                                        F
                                                                                                                                                                           qo
r from the centre of the dipole on the axial                                                                                    Electric  field  can  be  given  by  E  =                q ⋅qo
                                                                                                                                                                                          r2
line.                                                                                                                           Where F is force between two charges           F= 1
                                                                                                                                                                                   4πεo
(b)	 Draw a graph of E versus r for r >> a.
(c)	 if this dipole were kept in a uniform external       Electric field on point P due to charge + q
                                                                           q
        electric field Eo, diagrammatically repre-         E1 =    1   (r
        sent the position of the dipole in stable and            4πεo      − a)2

unstable equilibrium and write the expression Electric field on point P due to charge – q
                                                                         −q
for the torque acting on the dipole in both the            E2 =    1
cases.                                                           4πεo  (r + a)2

                                [5] OD Set-2 [2017]        =      −1      q
                                                                 4πεo
                                                                       (r + a)2

                                                           Net electric field, Enet = E1 + E2

                                                                               q   °­        1             1      ½°  [1]
                                                                             4SHo  ®                               ¾   [½]
                                                                                   °¯    r   a 2     r   a2  ¿°

                                                                             S2  a2  2Sa  r 2  a2  2ra

                                                                                   (S  a)2 (S  a)2

                                                                                  q 4ra

                                                                              4SHo r 2  a2 2

                                                                                    1 2pr
                                                                                  4SHo r 2  a2 2
                                                                        Enet

                                                                             if r !! a

                                                                       Enet       2kPr 2kP
                                                                                   r4 r3

Physics Booklet_Unit 1_.indd 3                                                                                                                                                              3

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