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![we know that 2 m = (Mr-1) B] For r R or r>R., ural Thats why m = (1-1 mzo ] wo know that A= no II de ce r<R For de = zadr I](http://img.homeworklib.com/questions/86ae6f30-0970-11ec-b79e-af89c46d2839.png?x-oss-process=image/resize,w_560)
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Problem 4: A long aluminum (A113) wire of radius R has a current density flowing through...
A long straight conductor has a constant current flowing to the right. A wire rectangle is situated above the wire, and also has a constant current flowing through it (as shown in the figure)
A long straight conductor has a constant current flowing to the right. A wire rectangle is situated above the wire, and also has a constant current flowing through it (as shown in the figure). It what direction is the net force on the wire rectangle? A) out of page B) up C) down D) force is zero E) left 8) A solid cylinder of radius R = 5.0 mm caries a uniform current density of 1.50 x 106 A/m2. What is the magnitude of the magnetic...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
Problem 5 Consider a circular wire of radius R- 2.50 mm. The wire has a current...
Problem 5 Consider a circular wire of radius R- 2.50 mm. The wire has a current density whose magnitude varies radially as J = J(r) = bra. where b = 1.34 × 1010 A-ml-4 and r (measured in meters) is the radial distance from, the central axis of the wire. Throughout the cross-section of the wire, the current-density vector is perpendicular to the cross-section (i.e, the current is along the wire) (a) Find the current through the wire (b) If...
An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m The current density J=4.5 A/m2 is uniform in the cylinder.
Problem 13: An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m The current density J=4.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. Expression: Select from the variables below to write your expression. Note that all variables may not be required. α,...
The current density in a cylindrical wire of radius R = 2.0 mm is uniform across...
The current density in a cylindrical wire of radius R = 2.0 mm is uniform across a across section of the wire and is J = 2.0 times 10^5 A/m^2. What is the current through the outer portion of the wire between the radial distances R/2 and R and shown below Suppose, instead, that the current density through a cross section varies with the radial distances r as J = ar^2 in which a = 3.0 times 10^11 A/m^2 and...
A long, cylindrical wire of radius R has a current density J(r) = Jo(1 – r2/R2)...
A long, cylindrical wire of radius R has a current density J(r) = Jo(1 – r2/R2) for distances where r < R and J(r) = 0 for r < R where r is the distance from the center of the wire’s axis. Find the magnetic field strength inside (r < R) and outside (r > R) the wire. Sketch the magnetic field strength as a function of distance r from r = 0 to r = 2R. Find the location...
A segment of wire has a radius R= 27 mm and length L = 39 cm...
A segment of wire has a radius R= 27 mm and length L = 39 cm that carries a uniform current density J = 470 A/m2. What is the current i, flowing through a circular loop of radius r = 18.5 mm offset from the central axis of the wire by d = 3.5 mm? Express your answer using one decimal place. You answer should be in mA.
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...
Problem 4 (20 points): A long, solid conducting cylinder of radius R has a current density within...
Problem 4 (20 points): A long, solid conducting cylinder of radius R has a current density within it described by: (r)-C( ) for r< R where C is a constant to be determined. The total current running through the whole cylinder is I. a) Calculate an expression for the constant C, given that the total current is I. (Hint: the current density is not uniform.) b) Why can Ampere's law be used here, and what Amperian loop is appropriate? c)...
The current density inside a long, solid, cylindrical wire of radius a = 4.0 mm is...
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 ,...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
Problem 5 Consider a circular wire of radius R- 2.50 mm. The wire has a current density whose magnitude varies radially as J = J(r) = bra. where b = 1.34 × 1010 A-ml-4 and r (measured in meters) is the radial distance from, the central axis of the wire. Throughout the cross-section of the wire, the current-density vector is perpendicular to the cross-section (i.e, the current is along the wire) (a) Find the current through the wire (b) If...
The current density in a cylindrical wire of radius R = 2.0 mm is uniform across a across section of the wire and is J = 2.0 times 10^5 A/m^2. What is the current through the outer portion of the wire between the radial distances R/2 and R and shown below Suppose, instead, that the current density through a cross section varies with the radial distances r as J = ar^2 in which a = 3.0 times 10^11 A/m^2 and...
A segment of wire has a radius R= 27 mm and length L = 39 cm that carries a uniform current density J = 470 A/m2. What is the current i, flowing through a circular loop of radius r = 18.5 mm offset from the central axis of the wire by d = 3.5 mm? Express your answer using one decimal place. You answer should be in mA.
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...
Problem 4 (20 points): A long, solid conducting cylinder of radius R has a current density within it described by: (r)-C( ) for r< R where C is a constant to be determined. The total current running through the whole cylinder is I. a) Calculate an expression for the constant C, given that the total current is I. (Hint: the current density is not uniform.) b) Why can Ampere's law be used here, and what Amperian loop is appropriate? c)...
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 ,...
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