Avery long cylindrical dielectric rod of radius r spins slowly about its axis. a uniform magnetic field bo is applied along this axis. the dielectric has an electric susceptibilityx (a) find the displacement field d(r). (b) using d 6,e p. express e in terms of p (c) find the electromotive field (let's call this force per unit charge fo(r)) acting on charges in the dielectric resulting form the lorentz force (d) the electromotive field you found induces a polarization in the dielectric. find the polar- ization. note: this is not simply p(r) є0ke(r) (griffiths 4.30) because in addition to feel the push/pull from electric fields (from free charges [if any] and polarization) there is the electromotive field acting on the dielectric. (e) find the bound volume and surface charges corresponding to the polarization p(r) (f) the rotating polarization charge distribution sets up a current distribution which in turn sets up a magnetic field that will act on moving charges. argue that we are justified in neglecting this (possible) contribution

An object moves from the position +34m to the position -15m in 15 seconds. what is it's total displacement? what is it's average velocity?

For problems 1-3, consider a simple dc brush motor with a permanent magnet stator. with an an consider a simple dc brush motor with a permanent magnet ae supply voltage of 100 v, the no-load speed of the motor is 1000 rpm. this motor can provide a torque of 1.9 n-m at 800 rpm drawing a current of 2 a current are both zero at no load.) 1. with an armature supply voltage of 100 v, the motor is operated at 900 rpm. what is the motor torque? what is the mechanical power delivered by the motor? what is the current draw? what is the electrical power input? what is the energy efficiency of the motor? with an armature supply voltage of 100 v, the motor is operated at 1100 rpm (where it acts as a generator). what torque input is required? what mechanical power is required what current is generated? what is the electrical power generated? what is the energy efficiency of the motor acting as a generator? 2. with an armature supply voltage raised to 120 v, the motor is operated at 1000 rpm. what is the no-load speed? what is the motor torque? what is the mechanical power delivered by the motor? what is the current draw? what is the electrical power input what is the energy efficiency of the motor? 3.

Two balls, each with a mass of 0.5 kg, collide on a pool table. is the law of conservation of momentum satisfied in the collision? explain why or why not