A circular wire loop of radius is placed perpendicular to a magnetic field that changes uniformly from to in . What is the magnitude of the induced electromotive force (take )?
Answer and explanation
Correct answer: A.
- Step 1: State Faraday's Law of Electromagnetic Induction: .
- Step 2: Calculate loop area: .
- Step 3: Calculate magnetic field rate of change: .
- Step 4: Compute induced EMF: .
Answer
.
Why not the others: '' neglects the factor of rate; '' doubles the radius; '' introduces a metric power-of-ten slip.
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