Nonuniform displacement-current density. The figure shows a circular region of radius R = 5.0 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= 2.5 cm and (b) r = 6.5 cm? R

Nonuniform displacement-current density. The figure shows a circular region of radius R = 5.0 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= 2.5 cm and (b) r = 6.5 cm? R

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: In the figure below, a long circular pipe with outside radius R = 2.57 cm carries a (uniformly…

Q: In the figure below, a long circular pipe with outside radius R = 1.97 cm carries a (uniformly…

A: Step 1:

Q: In the figure below, a long circular pipe with outside radius R = 1.76 cm carries a (uniformly…

A: The magnetic field at point P due to wire will be along the rightward direction and due to the pipe…

Q: The current density inside a long, solid, cylindrical wire of radius a is in the direction of the…

Q: In the figure an electric field is directed out of the page within a circular region of radius R =…

A: The radius of the circular region, R=3.50cm×1m100cm=0.035m The magnitude of the electric field,…

Q: Problem 1: A time-dependent but otherwise uniform magnetic field of magnitude Bo(t) is confined in a…

A: Part (a)The direction of the acceleration of a proton is acting counterclockwise, because the sign…

Q: Uniform displacement-current density. The figure shows a circular region of radius R = 3.70 cm in…

A: Given,

Q: Part (a) Express the magnitude of the magnetic field at point O in terms of I and R. |B| = ______…

Q: Problem 9: An electron beam is shot into a region where there is both an electric field pointing…

Q: In the figure below, a long circular pipe with outside radius R = 2.52 cm carries a (uniformly…

Q: A (1.215x10^O)-m radius cylindrical region contains a uniform electric field along the cylinder…

Q: a) Suppose an infinitely long cylindrical wire of radius a in a direction parallel with the z-axis…

Q: region of radius R = 2.60 cm in which a displacement current is directed out of the page.The…

A: Radius (R) = 2.60 cm )= 4.30 A/m2

Q: A proton moves at a constant velocity of +63.4m/s along an x axis, through crossed electric and…

Q: Problem 4: Consider the two wires in the figure, running at a right angle to each other. The wires…

A: (a)The magnitude of the magnetic field at point A is,

Q: A cylindrical conductor of radius R = 2.12cm carries a current of I = 2.45A along its length; this…

A: Magnetic field.

Q: Problem 2: An electric current I0.85 A is flowing in a long wire. Consider a rectangular area with…

A: (a)The equation for the magnitude of magnetic field due to long wire carrying current at distance r…

Q: In the figure an electric field is directed out of the page within a circular region of radius R =…

A: The given data are listed below.

Q: problem we will use a 3-dimensional Cartesian coordinate system with coordinates x, y and z. In the…

A: Force F = ma = m dv/dt Force on charge particles in magnetic field is always perpendicular to…

Q: A 3-D magnetic field vector with components of Bx = 3.34 mT; By = -10.3 mT; Bz = 4.13 mT such that…

A: Given: Bx=3.34 mTBy=−10.3 mTBz=4.13 mT Find Out: What is the magnitude of this vector in units of…

Q: Consider the following vector field defined in a simply connected region, K = axy еx - Ayx еy + Az x…

A: Given Data: The given vector field is, . To Find: The vector K is a vector field or not?The vector K…

Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

Nonuniform displacement-current density. The figure
shows a circular region of radius R = 5.0 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 = 2.5 cm and
(b) r =
= 6.5 cm?
(a) B =
i
(b) B=
T
R

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Part (a) -Ampere's circuital law:

VIEW

Step 2: Part (b) - Ampere's circuital law:

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

In the figure below, a long circular pipe with outside radius R=2.18 cm carries a (uniformly distributed) current i = 9.57 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 of the net magnetic field at the center of the pipe is 4.85, but it has the opposite direction. Wire O (a) Number (b) Units P. R R R Pipe
Nonuniform displacement-current density. The figure shows a circular region of radius R = 5.0 cm in which a displacement current is directed out of the page. The magnitude of the density of this displacement current is given by Jo (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 = 2.5 cm and (b) r= 6.5 cm? R
A conducting cylinder has radius ?a and volume current density J1=κr in the direction of the axis of the cylinder where κ is known. It is coaxial with a conducting cylindrical shell which has inner radius b and outer radius c. Suppose we have already determined that the magnetic field outside both cylinders is zero. If the outer cylinder has a current density of J2=αr, find α. Find the magnetic field in each possible region B(r<a) = B(a<r<b) = B(b<r<c) =
Please answer for b, this is the only incorrect one
What is k r x w and t?
A rectangular conducting frame has a steady current of the magnitude i. It is placed in a non-uniform magnetic field zone, as shown in the figure. The edge lengths of the rectangle are a and b. The magnetic field is given as, b B = (B, + 4.0y²) & (Here k is the unit vector along +z – axis, B, is a constant and y is the posi along y – axis) °B a Find the magnitude of the magnetic force on the frame, in terms of the given parameters. (Assume the frame is exactly on the xy-plane) ... ... .. ... ... .00... ...
A (8.42x10^-1)-m radius cylindrical region contains a uniform electric field along the cylinder axis. It is increasing uniformly with time. What is the rate of change (magnitude) of the electric field required to obtain a total displacement current of (2.047x10^0) nA through a cross section of the region? Provide your answer in V/(m.s) with three significant figures.
Nonuniform displacement current. The figure shows a circular region of radius R = 3.5 cm in which a displacement current is directed out of the page. The magnitude of the displacement current is J, = (2 A)(r/R), where r is the radial distance (r < R) from the center. What is the magnitude of the magnetic field due to Ja at radial distances (a) r= 1.5 cm and (b) r%3D 4.0 cт? R 11.42 (а) В - 100 (b) В %-