The volumetric charge density of a cylinder of length L of radius R is p. Find the electric field inside (r
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![The volumetric charge density of a cylinder of length L of radius R is p.
Find the electric field inside (r <R) and outside (r <R) of the cylinder.
(You can calculate using Gauss's law. )](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b702e26-7789-4048-b3f3-368843240e6e%2F1c13072c-9a4a-4411-92ee-e483fb73932b%2Fjcispi_processed.png&w=3840&q=75)
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- a) A very long (almost infinitely long) cylindrical wire of radius R carries a uniform charge density Po. Find the line charge density. Find the electric field inside and outside the wire. b) If a long cylindrical cavity of radius b is created at a distance a in the wire maintaining same charge density as part (a) (see Fig. 2). Find the line charge density. Find the electric field inside the cylindrical cavity. 01 Fig. 2A thin-walled metal spherical shell of radius a = 17 m has a charge qa = 21 C. Concentric with it is a thin-walled metal spherical shell of radius b = 7a and charge q₁ = 21 C. Find the electric field at points a distance r from the common center, where (a) r = 5.1 m, (b) r = 34 m, and (c) r = 178.5 m. (a) Number Units (b) Number i Units (c) Number UnitsCharge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 10 cm. The volume charge density p is 7.9 nC/m³. Find the magnitude of the electric field E (a) inside the cylinder, a distance r = 2.8 cm from the cylinder axis, and (b) outside the cylinder, a distance r = 14 cm from the cylinder axis. (a) Number i (b) Number i Units Units
- answer is not zeroA 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 = 4.60 cm, outer radius = 10.6 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.2 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?An insulating sphere of radius R has a non-uniform charge density given byp = Ar 2 for r R. Find the electric field both inside and outside the sphere.
- A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).A charge of uniform linear density 2.20 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.40 cm, outer radius 10.0 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.4 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Stell-Consider a long, cylindrical charge distribution of radius R with a uniform charge density ρ. Find the electric field at distance r from the axis, where r < R.
- The electric field everywhere on the surface of a thin, spherical shell of radius 0.700 m is of magnitude 855 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? 1.16e-8 If a positive charge exists inside the sphere, what direction would the electric field point outside the sphere? nC (b) What is the distribution of the charge inside the spherical shelI? O The positive charge has a spherically symmetric charge distribution. O The negative charge has a spherically symmetric charge distribution. O The negative charge has an asymmetric charge distribution. O The positive charge has an asymmetric charge distribution.A cylinder of length L=5m has a radius R=2 cm and linear charge density 2=300 µC/m. Although the linear charge density is a constant through the cylinder, the charge density within the cylinder changes with r. Within the cylinder, the charge density of the cylinder varies with radius as a function p( r) =p.r/R. Here R is the radius of the cylinder and R=2 cm and p, is just a constant that you need to determine. b. Find the constant po in terms of R and 2. Then plug in values of R and 1. to find the value for the constant p. c. Assuming that L>>R, use Gauss's law to find out the electric field E inside the cylinder (rR) in terms of 1. and R. d. Based on your result from problem c, find the electric field E at r=1cm and r=4cm.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 = 4.20 cm, outer radius = 9.80 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?