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Electrostatic Potential And Capacitance

Question
CBSEENPH12047945

In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is however not constant, but increases uniformly along the positive z-direction at the rate of 105 N C-1m-1 The force experienced by the system having a total dipole moment equal to 10-7 C m in the negative z-direction is

  • -10-2 N

  • 10-2 N

  • 10-4 N

  • - 10-4 N

Solution

A.

-10-2 N

Consider an electric dipole with -q charge at A and +q charge at B, placed along z-axis, such that its dipole moment is in negative z-direction.

i.e pz = 10-7 C m

      

The elecric field is along positive direction of z-axis, such that

           dEdz  = 105 N C-1 m-1

From          F = qdE

                     = ( q × dz ) × dEdz

                F = p dEdz       

Force experienced by the system in the negative z-direction,

       F =- p ×- dEdz

           = 10-7 × ( 10-5 )

      F = - 10-2 N

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