Problem 8 Objective #2: An infinitely long cylindrical wire with a radius of 5 cm carries a curre...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...
An infinitely long solid cylindrical insulator of radius 20.0 cm has a non-uniform volume charge density of ρ-Ars where ρ is in C/m when r is in meters. Calculate the magnitude of the electric field at a distance of 10.00 cm from the axis of the cylinder.
2. An infinitely long wire carries a current 1-10A. A 5-turn loop of radius a = 2 cm is placed with its center at a distance d = 5 cm from the wire. The wire and the loop all lie in the same plane. (a) Find the magnetic field intensity at the center of the loop due to the current in the long wire alone. (b) Estimate the mutual inductance of the wire and the loop (c) What should be...
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_...
A cylindrical copper wire, whose radius is r = 0.0444 mm, carries a current of I = 3.33 A. The resistivity of copper is ρ = 1.68 × 10 − 8 Ω ⋅ m. What is the magnitude of the electric field in the wire?
A long, cylindrical wire with a radius of R carries a charge density of ρ = ks^2. Find the electric field inside and outside of the wire. This questions is theory based
2. (3 pts) A solid cylindrical wire of radius R carries uniform current density. Use Ampere's Law to calculate the magnetic field inside and outside the wire. Sketch your result as a function of distance r from the center.
A cylindrical conductor of inner radius a and outer radius b carries a steady current I. The current density in the conductor is uniform. Find B? as a function of the radial distance from the cylinder’s axis. 4. A cylindrical conductor of inner radius a and outer radius b carries a steady current I. The current density in the conductor is uniform. Find B as a function of the radial distance from the cylinder's axis. EN
A solid non-conducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r1 = R/2 from the center, the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r2 = 3R?
A long, conductive cylinder of radius R1 = 3.00 cm and uniform charge per unit length λ = 604 pC/m is coaxial with a long, cylindrical, non-conducting shell of inner and outer radii R2 = 10.5 cm and R3 = 12.0 cm, respectively. If the cylindrical shell carries a uniform charge density of p = 79.8 pC/m, find the magnitude of the electric field at the following radial distances from the central axis: