Question
In: Physics
The current density inside a long, solid, cylindrical wire of radius a = 5.0 mm is...
The current density inside a long, solid, cylindrical wire of radius a = 5.0 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 = 220 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c) r=5.0 mm from the center.
Solutions
genius_generous answered 2 years agoRelated Solutions
A long, hollow, cylindrical conductor (inner radius 2.4 mm, outer radius 4.4 mm) carries a current...
A long, hollow, cylindrical conductor (inner radius 2.4 mm,
outer radius 4.4 mm) carries a current of 45 A distributed
uniformly across its cross section. A long thin wire that is
coaxial with the cylinder carries a current of 24 A in the opposite
direction. What is the magnitude of the magnetic field
(a) 1.4 mm, (b) 2.6 mm,
and(c) 4.7 mm from the central axis of the wire
and cylinder?
a) A cylindrical length of wire has a radius of 4 mm and a length of...
a) A cylindrical length of wire has a radius of 4 mm and a
length of 10 cm. If the length is growing at a rate of 2 cm/sec and
the radius is shrinking at a rate of 1 mm/sec, what is the rate of
change of the volume in cm3/sec at that point in time. (Be careful
of units)
b) Consider the same length of wire as before (radius of 4 mm
and length of 10 cm). This time...
Consider the cylindrical wire of radius R= 5mm having current density through a cross section varies...
Consider the cylindrical wire of radius R= 5mm having current
density through
a cross section varies with radial distance ‘r’ as J= (3x 109 A/m4
) r2 , and ‘r’ is
in meters. What is the current through the outer portion of the
wire between
radial distances r=0.75R and r=R.
Consider a cylindrical wire of radius R (indefinitely long) that carries a total steady current I...
Consider a cylindrical wire of radius R (indefinitely long) that
carries a total steady current I such that there is a constant
current density j across the profile of the wire (for the first
part of this task, consider just a current density in vacuum)
a) in order to calculate the magnetic induction it is suitable
to work in cylindrical coordinates. Considering Boundary conditions
at ρ→∞, the magnetic induction ca be written as B=B_ρ (ρ,φ,z) e_ ρ
+ B_ φ(ρ,φ,z)e_...
Consider a cylindrical wire of radius R (indefinitely long) that carries a total steady current I...
Consider a cylindrical wire of radius R (indefinitely long) that
carries a total steady current I such that there is a constant
current density j across the profile of the wire (for the first
part of this task, consider just a current density in vacuum)
a) in order to calculate the magnetic induction it is suitable
to work in cylindrical coordinates. Considering Boundary conditions
at ρ→∞, the magnetic induction ca be written as B=B_ρ (ρ,φ,z) e_ ρ
+ B_ φ(ρ,φ,z)e_...
An infinitely long solid cylindrical insulator of radius 13.0 cm has a non-uniform volume charge density...
An infinitely long solid cylindrical insulator of radius 13.0 cm
has a non-uniform volume charge density of =4r3 where is in Cm3
when r is in meters. Calculate the magnitude of the electric field
at a distance of 17.00 cm from the axis of the cylinder.
The inside of a wire has a current density of J (r) = ( 5 /...
The inside of a wire has a current density of J (r) = ( 5 / r )
A/m2
radius of wire = 0.15
m
Find magnitude of
magnetic field when at a radial distance of 0.05 m away using
Ampere's Law.
A cylindrical tube that is 2.20 m long and has a radius of 150 mm is...
A cylindrical tube that is 2.20 m long and has a radius of 150
mm is filled with water. It is oriented with its long central axis
vertical, and it is open to the air at the upper end. A hole 80.0
mm in radius is drilled in the bottom, and the water is allowed to
drain out. When the water level is half the height of the tube, (a)
what is the speed of the water exiting through the...
What is the current in a wire of radius R = 3.58 mm if the magnitude...
What is the current in a wire of radius R = 3.58 mm if the
magnitude of the current density is given by (a) Ja = J0r/R and (b)
Jb = J0(1 - r/R) in which r is the radial distance and J0 = 5.08 ×
10^4 A/m^2? (c) Which function maximizes the current density near
the wire’s surface?
A coaxial cable consists of a long cylindrical copper wire of radius r1 surrounded by a...
A coaxial cable consists of a long cylindrical copper wire of
radius r1 surrounded by a cylindrical insulating shell of outer
radius r2 . A final conducting cylindrical shell of outer radius r3
surrounds the insulating shell. The wire and conducting shell carry
equal but opposite currents I uniformly distributed over their
volumes. What is the current density j(r) for all r? Find formulas
for the magnetic field in each of the regions.
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