Q: Show that the interaction energy of two dipoles separated by a displacement
Show that the interaction energy of two dipoles separated by a displacement r is [Hint: Use Prob. 4.7 and Eq. 3.104.]
See AnswerQ: A dipole p is a distance r from a point charge q
A dipole p is a distance r from a point charge q, and oriented so that p makes an angle θ with the vector r from q to p. (a) What is the force on p? (b) What is the force on q?
See AnswerQ: A particle of charge q enters a region of uniform magnetic field
A particle of charge q enters a region of uniform magnetic ï¬eld B (pointing into the page). The ï¬eld deflects the particle a distance d above the origina...
See AnswerQ: (a) Find the force on a square loop placed as
(a) Find the force on a square loop placed as shown in Fig. 5.24(a), near an inï¬nite straight wire. Both the loop and the wire carry a steady current I . (b) Find the force on the tria...
See AnswerQ: Find the magnetic field at point P on the axis of a
Find the magnetic ï¬eld at point P on the axis of a tightly wound solenoid (helical coil) consisting of n turns per unit length wrapped around a cylindrical tube of radius a and carryin...
See AnswerQ: Prove product rules (ii) and (vi). Refer to
Prove product rules (ii) and (vi). Refer to Prob. 1.22 for the definition of (A · ∇)B.
See AnswerQ: Use the result of Ex. 5.6 to calculate the
Use the result of Ex. 5.6 to calculate the magnetic field at the center of a uniformly charged spherical shell, of radius R and total charge Q, spinning at constant angular velocity ω.
See AnswerQ: Suppose you have two infinite straight line charges λ, a distance
Suppose you have two inï¬nite straight line charges λ, a distance d apart, moving along at a constant speed v (Fig. 5.26). How great would v have to be in order for the mag...
See AnswerQ: A steady current I flows down a long cylindrical wire of radius
A steady current I flows down a long cylindrical wire of radius a (Fig. 5.40). Find the magnetic ï¬eld, both inside and outside the wire, if (a) The current is uniformly...
See AnswerQ: A thick slab extending from z=-a to z=+a
A thick slab extending from z=-a to z=+a (and inï¬nite in the x and y directions) carries a uniform volume current / (Fig. 5.41). Find the magnetic ï¬eld, as a function...
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