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QPage 164: Q6: HC Verma: Concepts of Physics - Volume 2 Capacitors Page 164: Q6 Solution: The energy density in the electric field created by a point…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often confuse the inverse-square decay of the electric field ($E \propto 1/r^2$) with the energy density, forgetting that energy density is proportional to the square of the field magnitude ($u = \frac{1}{2}\epsilon_0 E^2$). This squaring operation results in a $1/r^4$ dependence, not $1/r^2$.

The energy density in the electric field created by a point charge falls off with the distance from the point charge as

Multiple Choice Options

  • A 1/r1/r
  • B 1/r21/r^2
  • C 1/r31/r^3
  • D 1/r41/r^4

Step-by-Step Verified Solution

**Answer:** (d) 1/r_. **Step-by-Step Explanation:** E _ 1/r_. Energy density u _ E_ _ 1/r_.

All Questions in this Chapter

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