Nonuniform displacement-current density. The figure shows a circular region of radius R = 4.5 cm in...
Nonuniform displacement-current density. The figure shows a circular region of radius R = 4.0 cm in which a displacement current is directed out of the page. The magnitude of the density of this displacement current is given by Jd = (9 A/m2)(1 - r/R), where r is the radial distance (r ≤ R). What is the magnitude of the magnetic field due to the displacement current at (a) r = 3.0 cm and (b) r = 5.5 cm? R
The circular region with radius R = 7.65 cm shown in the figure has an electric field directed upwards perpendicular to the region. The amount of electric flux through a circle of radius r around the center of the region is given by the following expression: What is the magnitude of the displacement current at a = 0.315 s through the circular area with a radius r= 5.55 cm from the center of the circular region? What is the magnitude of the...
The circular region with radius R = 6.85 cm shown in the figure has an electric field directed upwards and perpendicular to the region. The amount of electric flux 4g through a circle with radius r from the center of the region is given by the expression What is the magnitude B of the induced magnetic field at a distance r =5.35 cm from the center of the circular region?
A long nonconducting solid cylinder of radius 4.0 cm has a nonuniform volume charge density p = Ar^2, where r is the distance from the cylinder's axis and A = 2.5 uC/m^5. 1. Find the magnitude of the electric field at: a. r = 3.0 cm b. r = 5.0 cm
A long, non conducting, solid cylinder of radius 4.7 cm has a nonuniform volume charge density ? = Ar2, a function of the radial distance r from the cylinder axis. A = 2.4 µC/m5. (a) What is the magnitude of the electric field at a radial distance of 3.7 cm from the axis of the cylinder? (b) What is the magnitude of the electric field at a radial distance of 5.7 cm from the axis of the cylinder?
A solid nonconducting sphere of radius R = 6.2 cm has a nonuniform charge distribution of volume charge density ρ = (17.0 pC/m3)r/R, where r is radial distance from the sphere's center. (a) What is the sphere's total charge? What is the magnitude E of the electric field at (b) r = 0, (c) r = R/3.0, and (d) r = R?
As a parallel-plate capacitor with circular plates 22 cm in diameter is being charged, the current density of the displacement current in the region between the plates is uniform and has a magnitude of 16 A/m2. (a) Calculate the magnitude B of the magnetic field at a distance r = 45 mm from the axis of symmetry of this region. (b) Calculate dE/dt in this region.
As a parallel-plate capacitor with circular plates 27 cm in diameter is being charged, the current density of the displacement current in the region between the plates is uniform and has a magnitude of 23 A/m2. (a) Calculate the magnitude B of the magnetic field at a distance r = 80 mm from the axis of symmetry of this region. (b) Calculate dE/dt in this region.
The figure below shows a circular loop of wire of resistance R = 0.500Ω and radius r = 9.30 cm in the presence of a uniform magnetic field B out directed out of the page. A clockwise current of I = 3.30 mA is induced in the loop.(a) Which of the following best describes the magnitude of Bout It is increasing with time. It is decreasing with time. It remains constant. (b) Find the rate at which the field is changing with time (in...
A long, nonconducting, solid cylinder of radius 5.7 cm has a nonuniform volume charge density ρ that is a function of radial distance r from the cylinder axis: ρ = Ar2. For A = 2.3 µC/m5, what is the magnitude of the electric field at (a) r = 2.8 cm and (b) r = 13 cm.