a) There is a uniform electric flux perpendicular to a circular region of radius R = 2.8 cm. The electric flux is only contained within the circular region, and the total value can be expressed by the following function: ΦE = 6.3t, where ΦE is in V⋅m when t is in seconds. At a radial distance of 4.9 cm from the center of the circle, what is the magnitude of the induced magnetic field? Express your answer in fT (femtoteslas). Femto- is 10-15.
b) The displacement current density between the plates of a parallel-plate capacitor is uniform and has a magnitude of 31.1 A/m2 as the capacitor is being charged. What is dE/dt, the rate at which the electric field strength is changing between the plates? Express your answer in (TV/m)/s (teravolts per meter per second). Tera- is 1012.
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