Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown in the image. The non-uniform current density J is out of the page and varies with distance r from the center as J = J0 r (ˆk) where J0 is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction). Sketch the Amperian loop.

Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown in the image. The non-uniform current density J is out of the page and varies with distance r from the center as J = J0 r (ˆk) where J0 is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction). Sketch the Amperian loop.

Similar questions

Consider the circuit in the figure (b). The curved segments are arcs of circles of angle 35o and radii a = 12 cm and b = 6 cm. The straight segments are along radii. Find the magnetic field B at point P ( the center of curvature), assuming a current of 1 A clockwise in the circuit. (Positive out of page and negative into page) ONLY THE CURVED SEGMENTS CONTRIBUtE
At a point P on the center axis of a magnetic field created by a sufficiently long solenoid, we divide the magnetic field strength vector into a circular loop of the solenoid coil as shown below to add all the magnetic fields they create. (Let's simplify to continuous which isn't continuous). Complete this task to show that the magnetic field strength is "first image"at P point.
function of r for each region below, in terms of a, b, and any physical page, uniformly distributed along its surface. Find the magnetic field as a through its cross-section, and the shell carries a total current /, into the thick wire carries a total current 1 out of the page, uniformly distributed thin cylindrical shell of radius b. (Neglect the thickness of the shell.) The A long, thick cylindrical wire of radius a is surrounded by a long. B6. 1. or numerical constants, and circle its direction. (a) B(a b) outside the shell Circle the direction: (clockwise ) (counter-clockwise ) (another direction) (there is no field)
Consider the circuit in the figure (b). The curved segments are arcs of circles of angle 35o and radii a = 12 cm and b = 6 cm. The straight segments are along radii. Find the magnetic field B at point P ( the center of curvature), assuming a current of 1 A clockwise in the circuit. (Positive out of page and negative into page) ONLY THE CURVED SEGMENTS CONTRIBUTE
A long straight cylindrical shell has an inner radius R; and an outer radius Ro. It carries a current i, uniformly distributed over its cross section. A wire is parallel to the cylinder axis, in the hollow region (r < R;). The magnetic field is zero everywhere in the hollow region. We conclude that the wire: O is on the cylinder axis and carries current i in the same direction as the current in the shell may be anywhere in the hollow region but must be carrying current i in the direction opposite to that of the current in the shell may be anywhere in the hollow region but must be carrying current i in the same direction as the current in the shell is on the cylinder axis and carries current i in the direction opposite to that of the current in the shell O does not carry any current
Consider two infinitely long and parallel wires separated by distance d and carrying currents I₁ = -12. (a) Find the magnitude and direction of the vector potential A(r1,72) at a point P where r₁ and r2 represent the distances to P from wire 1 and wire 2 respectively. (b) What is the magnitude of A for r₁ = r₂? (c) What is the value of the magnetic field B for r₁ = r₂? (d) Given that B = V x A, how can you reconcile the answers to (b) and (c) above?