Walker, Halliday & Resnick — Maxwell's Equations; Magnetism of Matter: Problem 3

3 Uniform electric field. In Fig. 32-19, a uniform electric field is directed out of the page within a circular region of radius \( R = 4.00 \text{ cm} \). The field magnitude is given by \( E = (4.50 \times 10^3 \text{ V/m} \cdot \text{s})t \), where \( t \) is in seconds. What is the magnitude of the induced magnetic field at radial distances (a) 2.00 cm and (b) 5.00 cm? (c) At what radial distance is the field magnitude maximum?