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QPages 338-339: Q7: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Waves Pages 338-339: Q7 Solution: Consider the following two statements regarding a linearly…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often mistake the phrase “average value” for the field amplitudes and assume $\langle E\rangle=\langle B\rangle$ because $B=E/c$. In a sinusoidal wave the time‑average of $E$ and $B$ over a period is zero, while the time‑averaged energy densities $\langle \tfrac12\varepsilon_0E^2\rangle$ and $\langle \tfrac12\mu_0^{-1}B^2\rangle$ are equal. Remember to distinguish between the arithmetic mean of the field (zero) and the mean of its square (non‑zero, equal for electric and magnetic parts).
Consider the following two statements regarding a linearly polarised, plane electromagnetic wave : A) The electric field and the magnetic field have equal average values. B) The electric energy and the magnetic energy have equal average values.
Multiple Choice Options
- A Both A and B are true.
- B A is false but B is true.
- C B is false but A is true
- D Both A and B are false.
Step-by-Step Verified Solution
**Answer:** (b) A is false but B is true.
**Step-by-Step Explanation:**
The average values of E and B are zero, not equal (A false). The average electric and magnetic energy densities are equal (B true).
All Questions in this Chapter
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