Question

Electric Field Due to Infinite Line of Uniform Charge (a) Use the differential form of Coulomb's Law to determine the electric field for an infinite line of charge with uniform distribution ?_L > 0 located on the z-axis for some point (x,y,z). Discuss both mathematically and physically which components of the field are zero. The following integral may be useful: ?_{-?}^{?} 1 / [?^2 + (z-z')^2]^{3/2} dz' = 2/?^2, ?_{-?}^{?} (z-z') / [?^2 + (z-z')^2]^{3/2} dz' = 0 (b) Repeat part (a) using Gauss' Law for electric fields. (c) Using the results from above (which should be the same), determine the electric field at the point P(3a, 4a, -7a). Your answer must include a unit vector for the specific point P. Note: Be sure to include accurate drawings for parts (a) and (b). For part (c) , let ?_L = -2?Q/a Use a physical approach (required)

          Electric Field Due to Infinite Line of Uniform Charge
(a) Use the differential form of Coulomb's Law to determine the electric field for an infinite line of charge with uniform distribution ?_L > 0 located on the z-axis for some point (x,y,z). Discuss both mathematically and physically which components of the field are zero. The following integral may be useful: ?_{-?}^{?} 1 / [?^2 + (z-z')^2]^{3/2} dz' = 2/?^2, ?_{-?}^{?} (z-z') / [?^2 + (z-z')^2]^{3/2} dz' = 0
(b) Repeat part (a) using Gauss' Law for electric fields.
(c) Using the results from above (which should be the same), determine the electric field at the point P(3a, 4a, -7a). Your answer must include a unit vector for the specific point P.
Note: Be sure to include accurate drawings for parts (a) and (b).
For part (c) , let ?_L = -2?Q/a
Use a physical approach (required)

Electric Field Due to Infinite Line of Uniform Charge
(a) Use the differential form of Coulomb's Law to determine the electric field for an infinite line of charge with uniform distribution ?L > 0 located on the z-axis for some point (x,y,z). Discuss both mathematically and physically which components of the field are zero. The following integral may be useful: ?-?^? 1 / [?^2 + (z-z')^2]^3/2 dz' = 2/?^2, ?-?^? (z-z') / [?^2 + (z-z')^2]^3/2 dz' = 0
(b) Repeat part (a) using Gauss' Law for electric fields.
(c) Using the results from above (which should be the same), determine the electric field at the point P(3a, 4a, -7a). Your answer must include a unit vector for the specific point P.
Note: Be sure to include accurate drawings for parts (a) and (b).
For part (c) , let ?L = -2?Q/a
Use a physical approach (required)

Added by Gina B.

Question

Please give Ace some feedback