Q: (a) Suppose a charge distribution ρ1(r) produces
(a) Suppose a charge distribution Ï1(r) produces a potential V1(r), and some other charge distribution Ï2(r) produces a potential V2(r). [The two situations may have nothing in c...
See AnswerQ: Use Green’s reciprocity theorem (Prob. 3.50) to
Use Green’s reciprocity theorem (Prob. 3.50) to solve the following two problems. [Hint: for distribution 1, use the actual situation; for distribution 2, remove q, and set one of the conductors at po...
See AnswerQ: (a) Show that the quadrupole term in the multipole expansion
(a) Show that the quadrupole term in the multipole expansion can be written / (in the notation of Eq. 1.31), where / Here / is the Kronecker delta, and Qij is the quadrupole moment of the charge d...
See AnswerQ: In Ex. 3.8 we determined the electric field outside
In Ex. 3.8 we determined the electric ï¬eld outside a spherical conductor (radius R) placed in a uniform external ï¬eld E0. Solve the problem now using the method of imag...
See AnswerQ: For the infinite rectangular pipe in Ex. 3.4,
For the inï¬nite rectangular pipe in Ex. 3.4, suppose the potential on the bottom (y=0) and the two sides (x= ± b) is zero, but the potential on the top (y =a) is a nonzer...
See AnswerQ: (a) A long metal pipe of square cross-section
(a) A long metal pipe of square cross-section (side a) is grounded on three sides, while the fourth (which is insulated from the rest) is maintained at constant potential V0. Find the net charge per u...
See AnswerQ: An ideal electric dipole is situated at the origin, and points
An ideal electric dipole is situated at the origin, and points in the z direction, as in Fig. 3.36. An electric charge is released from rest at a point in the xy plane. Show that it swings back and fo...
See AnswerQ: A stationary electric dipole / is situated at the
A stationary electric dipole / is situated at the origin. A positive point charge q (mass m) executes circular motion (radius s) at constant speed in the field of the dipole. Characterize the plane of...
See AnswerQ: Find the charge density σ(θ) on the surface of
Find the charge density σ(θ) on the surface of a sphere (radius R) that produces the same electric field, for points exterior to the sphere, as a charge q at the point a < R on the z axis. /
See AnswerQ: Calculate the curls of the vector functions in Prob. 1.
Calculate the curls of the vector functions in Prob. 1.15.
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