2. A very long cylinder with radius a and charge density p Pora is placed inside...
1. Find the electric field at point a for: a. A solid sphere of radius R carrying a volume charge density ρ b. An infinitely long, thin wire carrying a line charge density Side Cross Section C. A plane of infinite area carrying a surface charge density ơ PoT 2. Avery long cylinder with radius a and charge density pa-is placed inside of a conducting cylindrical shell. The cylindrical shell has an inner radius of b and a thickness of...
1. A very long, uniformly charged cylinder has radius R and charge density \rho. Determine the electric field of this cylinder inside (r<R) and outside (r>R)2. A large, flat, nonconducting surface carries a uniform surface charge density σ. A small circular hole of radius R has been cut in the middle of the sheet. Determine the electric field at a distance z directly above the center of the hole.3. You have a solid, nonconducting sphere that is inside of, and...
A very long solid non-conducting cylinder of radius R1 is uniformly charged with a charge density p. It is surrounded by a concentric cylindrical tube of inner radius R2 and outer radius R3 as shown in the figure below, and it too carries a uniform charge density p. Determine the electric field as a function of the distance r from the center of the cylinders for R.
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...
3.) Charge is uniformly distributed with charge density p inside a very long cylinder of radius R. Find the potential difference between the A) Use Gauss' Law to find the electric field. B) Use part A to find Δν in terms of ρ, R, and 6,
Problem (3) A long solid metal conducting cylinder of radius cylinder of greater radius b. The inner +2C/m, and there is an equal negative linear ch The region between the two cylinders is filled w constant ing cylinder of radius a is coaxial with a long hollow metal conducting ner cylinder of radius a carries a linear positive charge density qual negative linear charge density on the outer cylinder of radius b. ve cylinders is filled with an insulating material...
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...
Chapter 23, Problem 028 GO A charge of uniform linear density 3.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 6.00 cm, outer radius = 10.8 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 16.8 cm from the axis of the shell? What is the surface charge density on the (b) inner and...
A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.40 cm, outer radius = 10.2 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.6 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of...
(1) Consider a very long uniformly charged cylinder with volume charge density p and radius R (we can consider the cylinder as infinitely long). Use Gauss's law to find the electric field produced inside and outside the cylinder. Check that the electric field that you calculate inside and outside the cylinder takes the same value at a distance R from the symmetry axis of the cylinder (on the surface of the cylinder) .