I. (10) A solid cylinder with a charge per u thin cylindrical shell with a charge per unit length...
7.(10) A long solid cylinder with radius Riis surrounded by a long thin cylindrical shell with radius R. The solid cylinder has a uniform current, I1, and the thin shell has a uniform current, 12. Use Ampere's law to derive the equation for the magnetic field for points inside the cylinder, r<R1.
Problem A.1 - Calculate electric flux f5) The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E . Consider an imaginary cylinder with radius e-25 cm and length L = 40 cm that has an infinite line of positive charge running along its axis. The charge per unit length is 3 HC/m. Do not use Gauss's Law, but actually calculate the flux! a) What is the electric flux through the cylinder...
A metal cylinder with charge Q and radius a is surrounded by a metal, cylindrical shell with charge -Q and radius b, where b > a. Both cylinders have a length L. a) Calculate the electric field in the gap between the two surfaces. b) Calculate the potential difference between the surfaces at r = a and r = b. c) Identify the capacitance for this particular geometrical set up.
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a positive charge per unit length of magnitude λ (C/m , and there is an equal negative charge per unit length on the outer cylinder of radius b. The region between the two cylinders is filled with an insulating material of dielectric constant K Please use...
stete the answer clearly please A very long, very thin straight line has a uniform charge per unit length of 2, where >. It is surrounded by a long, cylindrical, Insulating vinyl shell, which has an inner radius a and outer radius b. The line lies along the central axis of the cylindrical shell. The cylindrical shell has a uniform volume charge density p, where p > 0. (Both the line and the shell are long enough to approximate them...
(a) Consider a uniformly charged, thin-walled, right circular cylindrical shell having total charge Q, radius R, and length l. Determine the electric field at a point a distance d from the right side of the cylinder as shown in Figure P23.46. Suggestion: Use the result of Example 23.8 and treat the cylinder as a collection of ring charges, (b) What If? Consider now a solid cylinder with the same dimensions and carrying the same charge, uniformly distributed through its volume....
A solid, insulating sphere of radius a has a uniform charge density of P and a total charge of Q. Concentric with this sphere is a conducting spherical shell with inner and outer radii are b and c, and having a net charge -3Q. (a) (5 pts.)Use Gauss's law to derive an expression for the electric field as a function of r in the regions r < a (b) (4 pts.) Use Gauss's law to derive an expression for the electric field...
(Figure 1)An infinitely long conducting cylindrical rod with a positive charge, per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of -21 and radius , as shown in the figure. Part A What is E (r), the radial component of the electric field between the rod and cylindrical shell as a function of the distance from the axis of the cylindrical rod? Express your answer in terms of...
A thin cylindrical shell of radius R1=6.2cm is surrounded by a second cylindrical shell of radius R2=9.3cm. Both cylinders are 5.0 m long and the inner one carries a total charge Q1=−0.77μC and the outer one Q2=+1.54μC. A) For points far from the ends of the cylinders, determine the electric field at a radial distance r from the central axis of 4.1 cm . B) For points far from the ends of the cylinders, determine the magnitude of the electric...
9. (a) Consider a uniformly charged, thin-walled, right circular s cylindrical shell having total charge Q. radius R, and length . Determine the electric field at a point a distance d from the right side of the cylinder as shown in Figure P23.9. Suggestion: Use the result of Example 23.2 and treat the cylinder as a col- lection of ring charges. (b) What If? Consider now a solid cyl- inder with the same dimensions and carrying the same charge, uniformly...