Given a hollow spherical conducting shell (in electrostatic equilibrium) has an inner radius R1 and an...
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...
A hollow insulating spherical shell of inner radius R0 and outer radius R1 is positively charged with a charge density of p(r) = p0(1 – (r/R1)3). A positive charge +Q is placed in the center of the hollow sphere and a concentric grounded conducting shell with inner radius R2 and outer radius R3 surrounds the hollow sphere. (The conducting shell was neutral before it is grounded.) (a) What is the total charge on the insulating sphere? (b) What charges are on the...
Problem 9: A hollow non-conducting spherical shell has inner radius R1 = 8 cm and outer radius R2 = 17 cm. A charge Q =-35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R1 < r < R2 that increases linearly with radius, where A = 24 uC/m4 .Part(a) Write an equation for the radial electric field in the region r < R1 in terms of Q.r, and Coulomb's...
Problem 8: A hollow non-conducting spherical shell has inner radius R1 =9 cm and outer radius R2 = 15 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density Q = Ar for R1 < r < R2 that increases linearly with radius, where A = 16 μC/m4. Part (a) Write an equation for the radial electric field in the region r < Ry in terms of Q, r, and...
A hollow non-conducting spherical shell has inner radius R1=5 cm and outer radius R2=12 cm. A charge Q=-25 nC lies at the center of the shell. The shell carries a spherically symmetric charge density Q=Ar for R1 < r < R2 that increases linearly with radius, where A 21 uC/m4 Part (a) Write an equation for the radial electric field in the region r < R1 in terms of Q, r, and Coulomb's constant k. You may take the positive direction...
A small, solid conducting sphere of radius r1 sits inside a hollow conducting spherical shell of inner radius r2 and outer radius r3. A potential difference of magnitude V is placed across the inner and outer conductors so that there is a net charge of -Q on the inner conductor and +Q on the outer conductor. Suppose a thin but finite thickness conducting shell was placed between the sphere and the outer shell. This extra shell is electrically isolated. Would...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -1q and the outer shell has a total charge of +3q. The total charge on the inner surface of the large shell is zero. The total charge on the inner surface of the small shell is -1q. The radial component of the electric field in the region...
Source charge O inside a conducting shell of inner radius Ry and outer radius R2 a conducting shell of inner radius R1 and outer radius R2 +0 (a) Sketch the distribution of charge on the inner and outer surfaces of the conducting shell (assume the conducting shell is neutral) (b) Determine the magnitude of the electric field in the following regions: 0<r<R1 R1 <r<R2
3. A solid spherical insulator with radius Ry is surrounded by a conducting spherical shell with inner radius R2 and outer radius R3 and with the same center point as the central sphere. The central sphere has charge density p yr3, where r is the distance from the common center of the sphere and shell. The conducting shell has charge Q. Find the magnitude of the electric field as a function of r in the following regions: R2 (a)r s...
2. (40 points) A conducting sphere of radius R1 has potential V. The per- mittivity is co for 0<T< R2, and it is e1 for R2 <T R3. A spherical conducting shell at radius R3 is at potential 0.. Assume Ri < R2 < R3 Find, at all points in space, the following: V, D, E, P, Po, and ob, where the last two are the volume bound charge density and the surface bound charge density. Be sure to find...