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?
Nonuniform displacement-current density. The figure shows a circular region of radius R = 4.0 cm in...
Nonuniform displacement-current density. The figure shows a circular region of radius R = 4.5 cm in which a displacement current is directed out of the page. The magnitude of the density of this displacement current is given by Id = (7 A/m2)(1 - r/R), where r is the radial distance (SR). What is the magnitude of the magnetic field due to the displacement current at (a) r = 3.0 cm and (b) r = 5.0 cm? R (a) B =...
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
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...
The current density inside a long, solid, cylindrical wire of
radius a = 4.0 mm is in the direction of the central axis and its
magnitude varies linearly with radial distance r from the axis
according to J = J0r/a, where J0 = 390 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c)
r=4.0 mm from the center.
Chapter 29, Problem 047 The current density inside a lon ,...
In the figure below, a uniform electric field is directed out of the page within a circular region of radius R = 2.50 cm. The magnitude of the electric field is given by E = (5.40 × 10 3 V/m . s t where t is in seconds. (a) What is the magnitude of the induced magnetic field at a radial distance of 2.00 cmi? (b) What is it at a radial distance of 5.00 cm?
In the figure below, a long circular pipe with outside radius
R = 2.76 cm carries a (uniformly distributed) current
i = 10.3 mA into the page. A wire runs parallel to the
pipe at a distance of 3.00R from center to center. Find
the (a) magnitude and (b)
direction (into or out of the page) of the current in the wire such
that the ratio of the magnitude of the net magnetic field at point
P to the magnitude...
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?
In the figure below, a long
circular pipe with outside radius R = 2.73 cm carries a (uniformly
distributed) current i = 12.7 mA into the page. A wire runs
parallel to the pipe at a distance of 3.00R from center to center.
Find the (a) magnitude and (b) direction (into or out of the page)
of the current in the wire such that the ratio of the magnitude of
the net magnetic field at point P to the magnitude...