Question Detail

PHY 102 Electromagnetic Induction 1 Objective Question

Question

Regarding the line integral of the electric field over a closed loop (∫E⋅dl), what is the key difference between an electrostatic field (Ee) and an induced electric field (E)?
Options
A For an electrostatic field, ∫Ee⋅dl ≠ 0, but for an induced electric field, ∫E⋅dl = 0.
B For an electrostatic field, ∫Ee⋅dl = 0, but for an induced electric field, ∫E⋅dl ≠ 0.
Correct Answer
C For both fields, ∫E⋅dl = 0.
D For both fields, ∫E⋅dl ≠ 0.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 30's comparison table explicitly lists: '∫Ee⋅dl = 0' for Electrostatic Field and '∫E⋅dl ≠ 0' for Induced Electric Field. This difference is fundamental to the conservative nature of electrostatic fields versus the non-conservative nature of induced electric fields.

Hint

Recall the definition of a conservative field in terms of its line integral over a closed path.

Question Info