Question

In: Physics

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?

Solutions

Expert Solution

The function maximizes the current density can be calcualate using below formula

Where dA=2r.dr

Function (a) maximizes the current density near wires surface since current I=1.363 A maximum.

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

A copper wire has a diameter of 3.247 mm. What magnitude of current flows when the...
A copper wire has a diameter of 3.247 mm. What magnitude of current flows when the drift velocity is 4.40 mm/s? Take the density of copper to be 8.92 g/cm3. Give your answer in Amperes. PLEASE PLEASE PLEASE answer correctly
A wire with a radius R = .89 mm and length 45 cm is made of...
A wire with a radius R = .89 mm and length 45 cm is made of two materials, Carbon and Nichrome (resistivity not given I assume it needs to be googled). The Carbon portion is 15 cm long. The temperature of the wire is 75 oC. The wire is connected to a 12 volt battery. a) Find the total Resistance of the battery as well as the current (I) and the current density (J) and the electric field (E) in...
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 copper wire has a radius of 1.0 mm. What is the resistance of 2m of...
A copper wire has a radius of 1.0 mm. What is the resistance of 2m of the wire at 0 degrees C? A. 6.3 microOhms B. 9.9 microOhms C. 6.3 nanoOhms D. 9.9 milliOhms
400 mA of electrical current flows through a 4 mm radius copper wire extending along the...
400 mA of electrical current flows through a 4 mm radius copper wire extending along the z axis. If the current is homogeneous, find: a) The volumetric density of current. b) The radius of the cross section through which 200 mA of electric current flows. c) The electric current flowing through a cross section of 2 mm radius.
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 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_...
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.
A circular wire loop of radius 1.4 cm is placed in a magnetic field of magnitude...
A circular wire loop of radius 1.4 cm is placed in a magnetic field of magnitude 2.3 T. If the magnetic field goes to zero in a time of 5 s, what is the magnitude of the current induced in the loop? The wire has a diameter of 2 mm, and the resistivity of copper is 1.7 x 10-8 Ohm-m.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT