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Question

Find the magnitude of electric field due to a dipole at a point P along the line joining point P and centre of dipole as shown in figure.


A
2.0×103 N/C
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B
3.5×103 N/C
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C
3.0×103 N/C
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D
2.5×103 N/C
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Solution

The correct option is D 2.5×103 N/C
Given:
Distance of charges from centre of dipole, l=1 mm

Distance of point P from centre of dipole, x=5 m

Magnitude of charge, q=10 nC=10×109 C

Angle made of line joining of point P and centre of dipole with axis of dipole, θ=30

We know that the magnitude of an electric field at a point P far away (5 m>>1 mm) along the line joining of point P and centre of dipole due to a dipole is given by

E=2kpcosθx3=4kqlcosθx3

E=4×9×109×10×109×1×103×cos3053

E=2.5×103 N/C

Hence, option (d) is correct.

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