If the magnitude of the magnetic field in Figure P29.40 changes with time as (B=B_{max } sin

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If the magnitude of the magnetic field in Figure P29.40 changes with time as \(B=B_{\max } \sin (\omega t)\), calculate the magnitude of the electric field that accompanies this changing magnetic field as a function of time \(t\) and radial distance \(r\) from the center of the magnetic field for

(a) \(r

(b) \(r>R\).

(c) At \(t=0\), what is the direction of the electric field?

Data from Figure P29.40

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