Hi, I am really stuck with these problems, is it possible you guys can help me out, by guiding me along this problem, I wil write the entire thing out, but would appreciate it if you guys help me step by step so that I can understand it, since I am having a VERY hard time with these problems.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

A point charge (+q) is located at the origin. A spherical conductor of inner radius "a" and outer radius "b" surrounds this point charge with its center at the origin. A total charge of =2q lies on this spherical conductor.

{I put the diagram as an attachment}

a) Find the magnitude of the electric field in region I, at a distance r<a away from the origin. Label on the diagram some E field line within this region, if necessary. [Hint: Use Guass Laws]

b) Find the magnitude of the electric field in region II, at a distance r>1 (but <b), from the origin. Again label on the diagram some E fields if necessary.

c) Find the magnitude of the electric field in region III, at a distance r>b from teh origin. Again label on the diagram E field lines if necesary.

Consider 2 different designs for a printer cable. Design 1 has 4 cables each carrying a current I into the page. Design 2 has 4 cables all carrying current magnitude I but two have the current in one direction and two have in the opposite direction.

d) Find the magnetic field at a distance r. (in the plane which is perpendicular to the wires), away from cable 1 by using Ampere's Law.

e) Find the magnetic field a distance r away from cable 2 by using AMpere's LAw.

f) Which design is better, why?

2. Relevant equations

Guass Law;

[tex]\Sigma[/tex] Eperp * delta A = Qenclosed / [tex]\epsilon[/tex]0

Ampere's Law;

[tex]\Sigma[/tex] Bparallel * delta l = [tex]\mu[/tex]0 * Ienclosed

3. The attempt at a solution

Again, thank you for the help here.

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# Homework Help: Need Help With Guass Laws and Amperes Law

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