On the axis of a short electric dipole at a point potential is V.If the dipole is rotated through 90° potential at same point is
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Explanation:
When a dipole AB of very small length is taken, then for a point P located at an axial distance r from the axis the electric field is given by
E=
4πε
0
1
r
3
2P
...(i)
When dipole is rotated by 90
o
, then electric field is given by
E
′
=
4πε
0
1
r
3
P
...(ii)
From Eqs. (i) and (ii), we get
E
′
=
2
E
Answered by
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The potential is zero.
Given:
The potential is V at some point where the angle is θ
To Find:
The potential at the same point when the angle, θ is 90°.
Solution:
If the dipole is rotated through 90°, then the angle θ becomes 90
we know,
Potential, V = kpcosθ/ r²
= 0 (∵cos 90° = 0)
Hence, The potential is zero when the dipole is rotated through 90°.
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