Question Detail

PHY 102 Electromagnetic Induction 1 Objective Question

Question

If a conducting loop is moving with velocity 'v' into a uniform magnetic field 'B' (points into the screen) and has a side length 'D' within the field, what is the induced EMF (ε) according to the derivation on page 21?
Options
A ε = B / (D * v)
B ε = B * D * v
Correct Answer
C ε = (B * v) / D
D ε = B * D * v²
Correct Answer

Option B is the correct answer.

Detailed Explanation

On page 19, the derivation shows dΦB/dt = BDdx/dt = -BDv. According to Faraday's Law (ε = -dΦB/dt), the magnitude of the EMF is ε = BDv. Page 21 further confirms this with 'gives the EMF ⇒ ε = BDv'.

Hint

Look for the derivation of Motional EMF, specifically the final magnitude of EMF, on pages 19-21.

Question Info