Question Detail

PHY 102 Electromagnetic Induction 1 Objective Question

Question

Which equation correctly represents Faraday's Law in terms of the induced electric field (E) and the rate of change of magnetic flux (ΦB)?
Options
A ∫ E ⋅ dl = ΦB / dt
B ∫ E ⋅ dl = - dΦB / dt
Correct Answer
C E = - dΦB / dt
D ∫ E ⋅ dl = 0
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 29 provides this as 'another way to write Faraday's Law': ∫ E ⋅ dl = - dΦB / dt. The integral form relates the line integral of the induced electric field around a closed loop to the rate of change of magnetic flux through the surface bounded by that loop.

Hint

Faraday's Law relates EMF to the change in flux, and EMF can also be expressed as the line integral of the electric field.

Question Info