ZuoTi.Pro
Question

In electromagnetic theory, the electric eld created by a point charge q located at the origin is E = iyjzk 4TE (r2y 2)3/2 where \epsilon is a constant.

Let S be a sphere in R3.

(a) Find the outward flux of E across S, if S does not contain q.

(b) Find the outward flux of E across S, if S is centered at q.

iyjzk 4TE (r2y 2)3/2
math   calculus   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

E (ZP 4C (x2222372 a) S: cloes not contain origin OT Sphera clutined for . uring dlivrrgenes theorem. F.d3= JJy civ (E)dlv dSSphep contauns ^ of >>a clius po a2- x2-2. Ax + = (z Ar) : S tor X - 2- , Va-2-y o2-x2 (R5 ± 7. ,-ax2 2 Y 4REC3 Vo2-y 4e3Va2yt Y 4t93 a- 2 Va +Va 2. + 2a2-2y2-2y2 (dedy 272 2 4xEa3 Nat-y2 Ap p S 5 2zta va-xy polar co-ordinatcs uing (x coso, gino

0 0
Add a comment
Know the answer?
Add Answer to:
In electromagnetic theory, the electric eld created by a point charge q located at the origin is E = where is a const...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 1) A point charge of 9.40 nC is located at the origin and a second charge...

    1) A point charge of 9.40 nC is located at the origin and a second charge of -4.20 nC is located on the x axis at x=3.75cm. a) Calculate the electric flux through a sphere centered at the origin with radius 1.20 m . b) Repeat the calculation for a sphere of radius 2.70 m . 2) In a cubical volume, 0.70 m on a side, the electric field is   where E0=0.125N/C and a=0.70m. The cube has its sides parallel...

  • A particle that carries charge is located at the origin of an -axis, and a uniformly-charged...

    A particle that carries charge is located at the origin of an -axis, and a uniformly-charged non-conducting solid sphere of radius and carrying charge is centered at on the  -axis. At what locations on the  -axis is the electric field zero? We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe...

  • A point charge of 8.90 nC is located at the origin and a second charge of...

    A point charge of 8.90 nC is located at the origin and a second charge of -4.10 nC is located on the x axis at x=3.00cm. A. Calculate the electric flux through a sphere centered at the origin with radius 1.50 m . B. Repeat the calculation for a sphere of radius 2.70 m .

  • 3) A Gaussian sphere of radius r is centered at the origin. A point charge q...

    3) A Gaussian sphere of radius r is centered at the origin. A point charge q is within the sphere, but not at the origin. The electric flux through the sphere equals (A) zero (O)méai (D) mCra

  • Consider a point charge q located at the point az (see Fig. 1). The point charge...

    Consider a point charge q located at the point az (see Fig. 1). The point charge is surrounded by a spherical surface of radius R centered at the origin which is cut off at theV2R/2 plane resulting in the open surface shown in Fig. 1 (turnover page). We shall refer to this surface as B (a) Using spherical polar coordinates (r.. o) state the radial component of the electric field E, from q everywhere on B (b) Calculate the electric...

  • A point charge -q is located at the origin. The point charge is surrounded by a...

    A point charge -q is located at the origin. The point charge is surrounded by a ring with uniform line charge density λ and radius a. The charged ring sits in the x-y plane and is centered on the origin. a) Calculate the electric potential along the z-axis using a reference point at ∞ using Coulomb’s law for V. (i.e. do not find the electric field first.) b) Use E = −∇V to calculate the electric field along the z-axis....

  • A) Find electric field at origin (0,0) due to a negative charge q-2 nC located at position (0, 3m...

    a) Find electric field at origin (0,0) due to a negative charge q-2 nC located at position (0, 3m) and a nc charged spherical shell with diameter of 2 m, centered at (4m, 0), carrying positive charge q2 +7.1 If charged particle with mass m-2 mg and carrying charge Q=-4.47 μС ¡s placed at the origin and released, what will be the magnitude and direction of its initial instantaneous acceleration? b) y(m) 42 x(m) -2 1 -1 -2 a) Find...

  • Problem 4 A point charge -q is located at the origin. The point charge is surrounded...

    Problem 4 A point charge -q is located at the origin. The point charge is surrounded by a ring with uniform line charge density and radius a. The charged ring sits in the x-y plane and is centered on the origin. a) Calculate the electric potential along the z-axis using a reference point at o using Coulomb's law for V. (i.e. do not find the electric field first.) b) Use E= -VV to calculate the electric field along the z-axis....

  • In free space, an arbitrary point charge of 20nC is located at (4,-1,3) in side the...

    In free space, an arbitrary point charge of 20nC is located at (4,-1,3) in side the sphere centered at the origin with a radius of r=10m. Find the electric flux psi(D). Gauss's law is not allowed to use.

  • 13.2. Consider a charge Q located close to a grounded conducting sphere centered(a) at the origin....

    13.2. Consider a charge Q located close to a grounded conducting sphere centered(a) at the origin. The sphere is of radius a, and the charge is located at-= d, where d> a. (a) Show that an image charge Qi--a0d located a12-a2/d satisfies the condition V = 0 at the surface of the sphere. (b) Determine the surface charge density ρ(0) induced on the surface of the sphere. (c) Determine the total charge induced on the surface of the sohere. .

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