A circular area of radius R=8.5 cm has a magnetic field into the page. This field is time-varying such that dB/dt = 0.13 T/s. Take the positive direction to be into the page, and assume an idealized field that is zero immediately outside R. (a) Describe the Electric field generated by this time-varying B-field (draw a diagram). (b) Find an expression for the magnitude of E of the induced electric field for r < R. Evaluate at r=5 cm. (c) Find the expression for the magnitude of E outside the circular area (r>R). (d) Plot the magnitude E(r) for all r values.
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