A circular region of radius \(R\) contains a uniform magnetic field \(B \) directed perpendicular to its plane. If the magnetic field is increasing at a constant rate \( \dfrac{dB}{dt},\) what is the magnitude of the induced electric field at a distance \(r\) from the center, where \(r<R \text{?}\)
         
1. \(\dfrac{dB}{dt}\dfrac{r}{2}\)
2. \(\text{zero}\)
3. \(\dfrac{dB}{dt}\)
4. \(\dfrac{dB}{dt}\dfrac{R^2}{2r}\)
Subtopic:  Maxwell's Equations |
 50%
Level 3: 35%-60%
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