Answered: igure 8 shows a coaxial cable (two… | bartleby

Related questions

Question

Figure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius
b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is
charged to −Q.The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate the
magnetic field B⃗ at r < a, a < r < b, and r > b.

R
a
Figure 8: Two nested cylinder used in question B1

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Along the x axis, 3.57E16 electrons move from x = –1.00 m to x = 1.00 m in 9.25 s. What is the average current l through the origin x = 0.00 m (in A; use positive sign if l is in the +x direction, and negative sign if lis in the –x direction)?
Asap plxx
A properly insulated, tightly wound, 83 cm solenoid is made from wire that is 0.415 mm in diameter. When steady current flows through the solenoid, a potential difference of 7 V is measured across the solenoid terminals. The field inside the solenoid is measured to be 0.5 mT, and the cross section of the solenoid is 2 cm². What is the resistivity of the wire material? Number 2 m.
longitudinally-uniform, and axially-symmetric 2. The current distribution of an infinite, wire can be described in cylindrical coordinates by J = J(p)ź. (a) Show that · ƒ = 0. (b) Considerations of longitudinal and axial symmetry require that the mag- netic field can only depend upon p, i.e. that = Ẻ(p) = B₂(p)ô+ Bø(p)❖ + B₂(p)ź. Use Ampère's Law to determine Bo(p) in terms of I(p) = 2π ff J(p') p'dp'. (c) Use the Biot and Savart Law to show that Bp(p) = B₂ (p) = 0. Side note: it is pretty easy to show that Bp(p) must be zero using Gauss's Law for B with a cylindrical volume. I am not aware of an "easy" way to see B(p) 0 not that it is very difficult using the Biot and Savart Law... (d) Use the integral form for the vector potential [Jackson, Eq. (5.32)] to determine A for this current distribution. Hint: in order to deal with divergent integrals, you may want to limit the current distribution to -L≤ z
The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 5.60 A. The radius of cross-section A1 is r1 = 0.330 cm. (a) What is the magnitude of the current density across A1? A/m2 The radius r2 at A2 is larger than the radius r1 at A1. (b) Is the current at A2 larger, smaller, or the same? The current is larger.The current is smaller. The current is the same. (c) Is the current density at A2 larger, smaller, or the same? The current density is larger.The current density is smaller. The current density is the same. Assume A2 = 2A1. (d) Specify the radius at A2. mm(e) Specify the current at A2. A(f) Specify the current density at A2. A/m2
Consider a wire made of copper with conductivity 6.0 × 107 £¯¹m³¹, which has a circular cross-section of radius 0.56 mm. In a particular circuit, this wire carries a current of 4.5 A. What is the electric field, in volts per meter, inside this wire? If we replace this wire with a gold one of the same size, with conductivity 4.1 × 107 ¹m-¹, what will the electric field in the wire be?
The electric field in three different wires (I, II, III) made of the same metal, with current flowing in the wires, is shown below. (The rest of the circuit, including the battery, is not shown.) The electric field in each wire is: É 1 = É 3 = (0.050, 0, 0) V/m and É 2 = (0.800, 0, 0) V/m. Wires I and III have a diameter d1 = 0.005 m, and Wire |l has a diameter d = 1.25 × 10¬3 m. In Wire I, 6.19 х 1018 electrons flow per second at an average drift speed 3.5 x 10-º m/s. di d2 dị A В C x=0 x=0.5 m x=0.6 m x=1.6 m I II III
5. Consider two (1 and 2) wires both having constant circular cross sectional areas: wire 1 has diameter = d, ; wire 2 has diameter = d. Potential differences are applied across each wire so that they both carry current. The current in wire 1 is I, and in wire 2 it is I, ; the the magnitude of the current density in wire 1 is J, and in wire 2 it is J,. If I,= I, and J, = (2) J, then wire diameters must be such that d, = (?) d. a. 2/2 b. V212 c. 2 d. V2 e. V214
A stream of singly charged ions is ejected from the sun with a number density of 8.70 cm-3. The stream travels at a speed of 470.0 km/s until it strikes the circular face of a spacecraft which has a radius of 1.50 m. How much current flows onto the spacecraft?
A scientist just bought a very cool magnet, and would like to measure it’s strength. She takes a stripof copper with width 3.0cm, and a rectangular cross-section of 0.004m^2 and runs a current of 0.5Athrough it. She knows copper has a free charge density of 8.491× 10^28 m−3. She holds the magnetnear the strip, and measures a voltage across the sides of the strips, and her voltmeter reads 11.2 nV-what is the strength of her magnet?
In the Bohr model of the hydrogen atom, an electron in the 8th excited state moves at a speed of 3.42 x 104 m/s in a circular path having a radius of 3.39 x 10-9 m. What is the effective current associated with this orbiting electron?
A metallic sheet lies on the xy plane, carries a surface current density K = Ho where μo is the permeability of free space. The B-field just below the sheet is given as B = 2î + 4ĵ + 5k. The questions on this page are based on this scenario. -Ĵ, What is the z-component of the B-field just above the sheet?

SEE MORE QUESTIONS