An electric dipole is defined as a positive chargeq and a negative charge-q separated by a distance2a, asshown in Figure, find the electric fieldE at pointP due to the dipole, whereP is a distancey. Find theelectric field also wheny a .SolutionAt y a
Question
An electric dipole is defined as a positive chargeq and a negative charge-q separated by a distance2a, asshown in Figure, find the electric fieldE at pointP due to the dipole, whereP is a distancey. Find theelectric field also wheny a .SolutionAt y a
Solution
The electric field at a point P due to an electric dipole can be calculated using the formula:
E = k * 2p / r^3
where:
- k is Coulomb's constant (9 x 10^9 N m^2/C^2),
- p is the dipole moment (q * 2a), and
- r is the distance from the center of the dipole to the point P (y).
Step 1: Calculate the dipole moment (p) p = q * 2a
Step 2: Substitute the values of k, p, and r into the formula to find E E = k * 2p / r^3
When y >> a, the distance r can be approximated as y. Therefore, the electric field E can be approximated as:
E = k * 2p / y^3
This shows that the electric field decreases rapidly as the distance y increases, which is a characteristic of the electric field due to a dipole.
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