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An electric dipole is located at the origin O along the x-axis. A point P lies 20 cm from O, and the line OP makes an angle π/3 with the x-axis. If the electric field at P is inclined at an angle θ to the x-axis, what is θ?

1. π/3
2. π/3 + tan⁻¹(√3/2)
3. 2π/3
4. tan⁻¹(√3/2)

Correct answer: π/3 + tan⁻¹(√3/2)

Solution

At polar angle theta the dipole field tilts from the radius vector by beta with tan(beta) = (1/2)tan(theta) = (1/2)tan(60) = sqrt(3)/2. The field's angle with the x-axis is theta + beta = pi/3 + arctan(sqrt(3)/2).

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