Please help me understand this problem. The solution is provided. Thanks! a.) b.) c.) d.) total...
A perfectly conducting spherical shell has an inner radius a and an outer radius b as shown below. The region r< a is hollow. The entire shell has a net charge of Q IC] on it because it has been stuck by lightning. Determine the electric field vector in all three regions: r<a, a< r b, and r > b. Determine the surface charge densities po and po on the two metal surfaces. Explain how this problem illustrates the Faraday...
Need help with D, E. Thank you. FIGURE 2.48 1 Gauss' Law and Conductors Problem 2.38 of Griffiths (Parts A-C) D) Remove the grounding wire and add a spherical cavity with charge qe and radius S < R/2 inside the inner metal sphere. How do your answers to (A) and (B) change? For (B), find V inside the inner shell, not the center. E) Add an excess charge qd to the outer surface and keep the charged cavity from D)...
A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a "frozen-in" polarization P(r) 0 r<a P(r) ksin(0)/r r a<r<b where k is a constant, r is the distance from the center, and r is the radial unit vector. There is no free charge in the problem 1. Find expressions for all the bound (volume and surface) charge. Interpret with a diagram. 2. Determine the total bound charge. Be aware if the bound charge...
A spherical metal (conductor) has a spherical cavity in side. There is a single point charge Q at the cavity center. The total charge on the meta is 0 (a) Describe how the charge is distributed on the E=? sphere. Would the surface charge density be u form at each surface? (b) Draw the electric field lines. c) Find the electric field for a point outside the metal. Express it in terms of r, the distance of the point in...
Problem 3 A spherical shell of dielectric material with inner radius a and outer radius b has a polarisation, P(r) = k (r+ P(E)=(-+) which is frozen into the material, and where k is a constant. As usual, r is the distance from the centre. There is no free charge. 1) Calculate all the bound charges. 2) Calculate the electric field inside the dielectric by first calculating the electric displacement D. 3) Cross-check your result by using Gauss's law (i.e....
Problem 3 A spherical shell of dielectric material with inner radius a and outer radius b has a polarisation P(r) kr which is frozen into the material, and where k is a constant. As usual, r is the distance from the centre. There is no free charge 1) Calculate all the bound charges 2) Calculate the electric field inside the dielectric by first calculating the electric displacement D 3) Cross-check your result by using Gauss's law (i.e. for E without...
12(46) A spherical conducting shell of radius 6 cm carrie in". (A) what is the total charge on the shell? Find the electric field at (B) r-2 cm; (C) r-5.9 cm; (D) r - 6.1 cm; and (E) r - 10 cm s a uniform surface charge density of 25 12(46) A spherical conducting shell of radius 6 cm carrie in". (A) what is the total charge on the shell? Find the electric field at (B) r-2 cm; (C) r-5.9...
ayuda con este problema de cálculo porfa especialmente el punto C help me please with this point 4. For a steady-state charge distribution and divergence-free current distribution the electric and magnetic fields E(r, y, z and H(z, y, z) satisf,y Here ρ = p(z, y, z) and J(z, y, z) are assumed to be known. The radiation that the fields produce through a surface S is determined by a radiation flux density vector field, called the Poynting vector field, a)...
Please help. Thank you. (3.) (40 pts) An insulating sphere of radius a has an embedded nonuniform charge den- sity: p(P) = (1+) where pe is a positive constant (this charge density is only valid for r <a). Sur- rounding the sphere, and concentric with it, is a conducting shell of inner radius b> a and outer radius c which is charged (not neutral). I do not know what the charge on the conductor is, but I am told that...
4) A very LONG hollow cylindrical conducting shell (in electrostatic equilibrium) has an inner radius R1 and an outer radius R2 with a total charge -5Q distributed uniformly on its surfaces. Asume the length of the hollow conducting cylinder is "L" and L>R1 and L>> R2 The inside of the hollow cylindrical conducting shell (r < R1) is filled with nonconducting gel with a total charge QGEL distributed as ρ-Po*r' ( where po through out the N'L.Rİ volume a) Find...