Questions from Electronics

Q: In Ex. 11.3 we assumed the velocity and acceleration

In Ex. 11.3 we assumed the velocity and acceleration were (instantaneously, at least) collinear. Carry out the same analysis for the case where they are perpendicular. Choose your axes so that v lies...

Q: (a) A particle of charge q moves in a circle

(a) A particle of charge q moves in a circle of radius R at a constant speed v. To sustain the motion, you must, of course, provide a centripetal force mv2/R; what additional force (Fe) must you exert...

Q: A point charge q, of mass m, is attached to

A point charge q, of mass m, is attached to a spring of constant k. At time t = 0 it is given a kick, so its initial energy is /Now it oscillates, gradually radiating away this energy. (a) Confirm that...

Q: Evaluate the integral / (where is a sphere

Evaluate the integral / (where is a sphere of radius R, centered at the origin) by two different methods, as in Ex. 1.16.

Q: With the inclusion of the radiation reaction force (Eq. 11

With the inclusion of the radiation reaction force (Eq. 11.80), Newton’s second law for a charged particle becomes where F is the external force acting on the particle. (a) In contra...

Q: Equation 11.14 can be expressed in “coordinate-free

Equation 11.14 can be expressed in “coordinate-free” form by writing p0 cos θ = p0 · rˆ. Do so, and likewise for Eqs. 11.17, 11.18. 11.19, and 11.21.

Q: Deduce Eq. 11.100 from Eq. 11.99

Deduce Eq. 11.100 from Eq. 11.99. Here are three methods: (a) Use the Abraham-Lorentz formula to determine the radiation reaction on each end of the dumbbell; add this to the interaction term (Eq. 11....

Q: An electric dipole rotates at constant angular velocity ω in the xy

An electric dipole rotates at constant angular velocity ω in the xy plane. the magnitude of the dipole moment is p = 2qR.) (a) Find the interaction term in the self-torque (analogous to Eq...

Q: A particle of mass m and charge q is attached to a

A particle of mass m and charge q is attached to a spring with force constant k, hanging from the ceiling (Fig. 11.18). Its equilibrium position is a distance h above the floor. It is p...

Q: A radio tower rises to height h above flat horizontal ground.

A radio tower rises to height h above flat horizontal ground. At the top is a magnetic dipole antenna, of radius b, with its axis vertical. FM station KRUD broadcasts from this antenna at (angular) fre...