Question

The dipole moment of the given charge distribution is: 

• A. \( \dfrac{4Rq}{\pi}\hat{i} \)
• B. \( \dfrac{4Rq}{\pi}\hat{j} \)
• C. \( \dfrac{2Rq}{\pi}\hat{i} \)
• D. (2Rq)/(π)hatj

Hint:

Use symmetry to eliminate components while calculating dipole moments.

Answer 1

The Correct Option is C

Step 1: Dipole moment: vecp = int vecrdq
Step 2: By symmetry, vertical components cancel.
Step 3: Net dipole moment lies along x-axis: p = (2Rq)/(π)