Question

(a) Derive an expression for the electric field E due to a dipole of length 2a at a point distant r from the centre of the dipole on the axial line. (b) Draw a graph of E versus r for r ≫ a .

          (a) Derive an expression for the electric field E due to a dipole of length 2a at a point distant r from the centre of the dipole on the axial line. (b) Draw a graph of E versus r for r ≫ a .
        

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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(a) Derive an expression for the electric field E due to a dipole of length 2a at a point distant r from the centre of the dipole on the axial line. (b) Draw a graph of E versus r for r ≫ a .
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Transcript

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00:01 In the question we have been asked about the electric field at a point which is away from the center of the dipole at a distance are.
00:14 So this is the point p where we have to calculate the electric field and this hole is 2a.
00:21 Then we can write that electric field due to point a will be towards itself since it is a negative charge.
00:31 So it will be ea and away from it due to plus charge this will be eb now to get the net electric field at point p we can write ep is equals to eb minus epa now to write it we can write for 1 upon 4 5 epsilon naught due to b it will become q divided by r minus a whole square minus q upon r plus a whole square...
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