Electric field intensity due to an electric dipole it on the axial line ? at a point of distance r from its centre varies as :
Question
Electric field intensity due to an electric dipole on the axial line
At a point of distance r from its center, the electric field intensity E due to an electric dipole varies as:
Solution
The electric field intensity (E) due to an electric dipole at a point on the axial line at a distance r from its center is given by the formula:
E = 2kP/r³
where:
- E is the electric field intensity,
- k is Coulomb's constant (9 x 10^9 N.m²/C²),
- P is the dipole moment (charge x distance between charges), and
- r is the distance from the center of the dipole to the point where we are measuring the electric field.
This formula shows that the electric field intensity varies inversely with the cube of the distance from the center of the dipole. This means that as the distance r increases, the electric field intensity decreases rapidly.
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