Question

In free space, consider the volume charge density ρ,-100 μCm3 present throughout the region 5 mm<r<10 mm and pv-0 for 0<r<5 mm. (a) Find the total charge inside the spherical surfacer 10 mm. in spherical coordinates (b) Find D, at r = 10 mm, Dr(10mm) = 2 (c) If there is no charge for r >10 mm, find D, at-50 mm Dr (50 mm)-- 2 47(r)2

0 0
Add a comment Improve this question Transcribed image text
Request Professional Answer

Request Answer!

We need at least 10 more requests to produce the answer.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the answer will be notified once they are available.
Know the answer?
Add Answer to:
In free space, consider the volume charge density ρ,-100 μCm3 present throughout the region 5 mm<r<10...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • Charge is distributed throughout a spherical volume of radius R with a density ρ ar where...

    Charge is distributed throughout a spherical volume of radius R with a density ρ ar where α is a constant. an risthe distance from the center of the sphere. Determine the electric field due to the charge at a point a distance r from the center that is inside the sphere, and at a point a distance r from the center that is outside the sphere. (Enter the radial component of the electric field. Use the following as necessary: R,...

  • A uniform volume charge occupies the region r < a and has volume charge density ρ....

    A uniform volume charge occupies the region r < a and has volume charge density ρ. The total charge of the volume charge is +2Q. A thin spherical shell of radius b > a surrounds the volume charge. The total charge of the thin spherical shell is −2Q. (a)Draw the electric field map with 4 lines per Q on the figure to the right. (b)Calculate the electric field everywhere. This part is to be worked symbolically (no decimal numbers should...

  • Consider a charged sphere with the following charge density ρ(r) =(ρ0(1− r Rmax) r ≤ Rmax...

    Consider a charged sphere with the following charge density ρ(r) =(ρ0(1− r Rmax) r ≤ Rmax 0 r > Rmax Using Gauß’ law, calculate the electric field (a) ~ E1 inside the sphere (i.e. r ≤ Rmax), (b) ~ E2 outside the sphere (i.e r ≥ Rmax), (c) Check that lim r→Rmax ~ E1 = lim r→Rmax ~ E2. Reminder: Due to spherical symmetryRRRV ρ(r0)dxdydz =Rr 0 ρ(r0)4πr02dr0 Please provide an explanation for the solution. Problem 5. Consider a charged...

  • A solid sphere, made of an insulating material, has a volume charge density of ρ =...

    A solid sphere, made of an insulating material, has a volume charge density of ρ = a/r What is the electric field within the sphere as a function of the radius r? Note: The volume element dV for a spherical shell of radius r and thickness dr is equal to 4πr2dr. (Use the following as necessary: a, r, and ε0.), where r is the radius from the center of the sphere, a is constant, and a > 0. magnitude  E= (b)...

  • 4.1 A sphere of radius R has a uniform volume charge density ρ(r) Pr. A. Calculate...

    4.1 A sphere of radius R has a uniform volume charge density ρ(r) Pr. A. Calculate E(r) B. Use your answer to A to calculate V(r). C. Use your answer to B to calculate the energy of this charge configuration, via the expression U pV d where the integral must be evaluated over the bounded charge distribution. D. Use your answer to A to calculate the energy of this charge configuration, via the expression 2 2 space

  • A solid insulating sphere of radius R has a non-uniform charge density ρ = Ar2 ,...

    A solid insulating sphere of radius R has a non-uniform charge density ρ = Ar2 , where A is a constant and r is measured from the center of the sphere. a) Show that the electric field outside the sphere (r > R) is E = AR5 /(5εor 2 ). b) Show that the electric field inside the sphere (r < R) is E = AR3 /(5εo). Hint: The total charge Q on the sphere is found by integrating ρ...

  • In a certain region of space, the charge density is given in cylindrical coordinates by the...

    In a certain region of space, the charge density is given in cylindrical coordinates by the function p=20*r*e^(-r). Apply gauss's law to find D

  • Q1.(25pts) A nonuniform volume charge distribution with density p,= 100 C/m3 , lies within the spherical region of...

    Q1.(25pts) A nonuniform volume charge distribution with density p,= 100 C/m3 , lies within the spherical region of radius a 0.2m in free space. a) Find the electric field intensity at a point outside the charge region. (9pts) b) Find the potential at the surface of the spherical charge region. (9pts) c) Determine the force acting on a charge of 10 Coulombs located at Px(5m, 90°, 90°), Indicate the position and orientation of the force vector on the sketch below....

  • a volumetric charge density is defined, in cylindrical coordinates for the region 0,005=<p<=0,02 , 0=<phi<=π/2 ,...

    a volumetric charge density is defined, in cylindrical coordinates for the region 0,005=<p<=0,02 , 0=<phi<=π/2 , 0=<Z<=0,04 Pv = (p^2 -10^(-4))xZxsin(2phi) C/m^3 and Pv=0 for all remaning space find the maximum Pv and the total charge in space

  • nc = 13 1. Find the charge in the volume defined by 1<r<2m, in the spherical...

    nc = 13 1. Find the charge in the volume defined by 1<r<2m, in the spherical coordinates if pv = (No cos?0)/r* (uC/mº). 2. Given that D = 7r2 a, + Nc sin 0 ag in spherical coordinates, find the charge density. 3. Find the work done in moving a point charge Q = - 20 uC from (4,2,0)m to the origin in the field E = (x/2 + 2y) ax + Nc xay (V/m). 1

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT