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.
\(\dfrac{dB}{dt}\dfrac{R^2}{2r}\)
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Subtopic: Â Maxwell's Equations |
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