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QPage 119: Q12: HC Verma: Concepts of Physics - Volume 2 Electric Field Potential Page 119: Q12 Solution: It is said that the separation between the two charges forming…

⚠️ Common Exam Traps & Conceptual Pitfalls

The dipole approximation requires $d ll r$, where $r$ is the distance to the observation point. Students often mistakenly compare $d$ to an absolute length or to the dipole’s own size, which can invalidate the approximation.

It is said that the separation between the two charges forming an electric dipole should be small. In comparison to what should this separation be small?

Step-by-Step Verified Solution

**Answer:** The separation between the charges forming an electric dipole should be small compared to the distance at which the dipole's field is being observed. **Step-by-Step Explanation:** The dipole approximation assumes d≪rd \ll r, where dd is the separation between the charges and rr is the distance from the dipole to the point of observation. When dd is small compared to rr, the higher-order terms in the expansion of the potential become negligible, and the field simplifies to the standard dipole form. "Small" means d≪rd \ll r, not small in an absolute sense .

All Questions in this Chapter

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