In the figure an electric field is directed out of the page within a circular region of radius R = 3.00 cm. The magnitude of the electric field is given by E = (0.800 V/m.s)(1-r/R)t, where radial distance r ≤ R and t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a)2.00 cm and (b)6.50 cm? (a) Number i 4.448e-20 (b) Number i R Units T Units T î SUPPORT

Problem 5. As a parallel-plate capacitor with circular plates 20 cm in diameter is being charged, the displacement current density in the region between the plates is uniform and has a magnitude of 20 A/m². (µ₁ = 4×10−7 T·m/A, and &o = 8.85x10-¹2 C²/N·m²). (a) Calculate the magnitude B of the magnetic field at a distance r = 50 mm from the axis of symmetry of this region. (b) Calculate dE/dt in this region.

Problem 4. A magnetic field directed into the page changes with time according to B = 2.0t³ - 4.0ť² + 3.0, where B is in tesla and t is in seconds. The field has a circular cross section of radius R = 2.5 cm (see figure below). (a) When t= 1.00 s and r₁= 5.0 cm, what are the magnitude and the direction of the electric field at point P₁? (b)When t = 2.00 s and r2 = 2.0 cm, what are the magnitude and the direction of the electric field at point P₂? xxxxx xxxxx xxxx** ** xxx T97 xxx R x xxxxx ****** xxxxx Bin n P₁

In a certain circular region of radius 8.50 cm, the electric field is directed into the page, has a uniform magnitude, and is decreasing at a rate of 38.0 V/m · s. The electric field everywhere outside this circular region is zero. Determine the magnitude and direction (use the direction rosette for this) of the magnetic field at the location A which is at a radial distance d = 11.5 cm.