Q: A charge q sits at the back corner of a cube,
A charge q sits at the back corner of a cube, as shown in Fig. 2.17. What is the ï¬ux of E through the shaded side?
See AnswerQ: Use Gauss’s law to find the electric field inside and outside a
Use Gauss’s law to find the electric field inside and outside a spherical shell of radius R that carries a uniform surface charge density σ. Compare your answer to Prob. 2.7.
See AnswerQ: Use Gauss’s law to find the electric field inside a uniformly charged
Use Gauss’s law to find the electric field inside a uniformly charged solid sphere (charge density ρ). Compare your answer to Prob. 2.8.
See AnswerQ: Find the electric field a distance s from an infinitely long straight
Find the electric field a distance s from an infinitely long straight wire that carries a uniform line charge λ. Compare Eq. 2.9.
See AnswerQ: Find the separation vector r from the source point (2,
Find the separation vector r from the source point (2,8,7) to the field point (4,6,8). Determine its magnitude (r), and construct the unit vector rˆ.
See AnswerQ: Find the electric field inside a sphere that carries a charge density
Find the electric field inside a sphere that carries a charge density proportional to the distance from the origin, ρ=kr , for some constant k. [Hint: This charge density is not uniform, and you must i...
See AnswerQ: A thick spherical shell carries charge density / (Fig
A thick spherical shell carries charge density / (Fig. 2.25). Find the electric ï¬eld in the three regions: (i) r (ii) a (iii) r > b. Plot |E| as a function of r , for the case b =...
See AnswerQ: A long coaxial cable (Fig. 2.26) carries
A long coaxial cable (Fig. 2.26) carries a uniform volume charge density Ï on the inner cylinder (radius a), and a uniform surface charge density on the outer cylindrical shell (radius b)....
See AnswerQ: An infinite plane slab, of thickness 2d, carries a uniform
An inï¬nite plane slab, of thickness 2d, carries a uniform volume charge density Ï (Fig. 2.27). Find the electric ï¬eld, as a function of y, where y = 0 at the...
See AnswerQ: Two spheres, each of radius R and carrying uniform volume charge
Two spheres, each of radius R and carrying uniform volume charge densities +Ï and -Ï, respectively, are placed so that they partially overlap (Fig. 2.28). Call the vector from th...
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