Question Detail

PHY 102 Electromagnetic Induction 1 Objective Question

Question

When comparing electrostatic fields (Ee) and induced electric fields (E), which statement accurately describes their line integrals over a closed path, according to the document?
Options
A For electrostatic fields, ∮ Ee ⋅ dl = 0; for induced electric fields, ∮ E ⋅ dl = - dΦB/dt.
Correct Answer
B For electrostatic fields, ∮ Ee ⋅ dl = - dΦB/dt; for induced electric fields, ∮ E ⋅ dl = 0.
C Both electrostatic and induced electric fields always have ∮ E ⋅ dl = 0 over a closed path.
D Both electrostatic and induced electric fields always have ∮ E ⋅ dl ≠ 0 over a closed path.
Correct Answer

Option A is the correct answer.

Detailed Explanation

Slide 28 and 29 clearly state that for electrostatic fields, ∮ Ee ⋅ dl = 0, indicating they are conservative. For induced electric fields, Faraday's Law is given as ∮ E ⋅ dl = - dΦB/dt, meaning the integral is generally non-zero when there is a changing magnetic flux.

Hint

The document provides specific formulas for the line integral of each type of field over a closed path.

Question Info