Question

In: Physics

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.

Solutions

Expert Solution


Related Solutions

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.
A uniform current density given by: J = (A/m2 J ) o az give rise to...
A uniform current density given by: J = (A/m2 J ) o az give rise to a magnetic potential: A = ( (Wb/m) 4 μo J o x ) 2 + y 2 i. 1) Apply the vector Poisson’s equation to prove the above statement. 2). Determine H using the expression of A 3). Determine H using the expression of J.
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?
Find the current density necessary to float a copper wire in Earth’s magnetic field. Assume the...
Find the current density necessary to float a copper wire in Earth’s magnetic field. Assume the experiment to be done at the Earth’s magnetic equator in a field of 10?4 T. Use nominal density of copper in g/cm^3.
What are ohmic materials? Give some examples. How are current density J and current I related?...
What are ohmic materials? Give some examples. How are current density J and current I related? When is it convenient to use J?
1) Inside the graph of r = 1 + cos 3Ό 2) Inside the circle r...
1) Inside the graph of r = 1 + cos 3Ό 2) Inside the circle r = -6 cos Ό and outside the circle r = 3
A current carrying gold wire has diameter of 0.84 mm. the electric field in the wire...
A current carrying gold wire has diameter of 0.84 mm. the electric field in the wire is 0.49 V/m. What is a The current carried by the wire? b The potential difference between two points in the wire 6.4 m apart? c The resistance of a 6.4 m length of this wire.
A 10.3 g wire has a density of 5.9 g/cm3 and a resistivity of 1.51 ×...
A 10.3 g wire has a density of 5.9 g/cm3 and a resistivity of 1.51 × 10−7 Ω · m . The wire has a resistance of 106 Ω . How long is the wire? The wire is made up of atoms with molecular mass 48 g/mol. What is the drift speed of the electrons when there is a voltage drop of 243.8 V across the wire? Assume there is one conduction electron per atom. The fundamental charge is 1.602...
(2) Let Vabc = [ - 5 , 5 + 5 j , - 5 j...
(2) Let Vabc = [ - 5 , 5 + 5 j , - 5 j ] T and calculate Vb012. Draw a phasor diagram illustrating the relationship Vb = Vb0 + Vb1 + Vb2 .
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_...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT