The net force on a current loop in a uniform magnetic field is zero. But what if B is not uniform? The figure (Figure 1) shows a square loop of wire that lies in the xy-plane. The loop has corners at (0, 0), (0, L), (L, 0), and (L, L) and carries a constant current I in the clockwise direction. The magnetic field has no x-component but has both y- and z- components: B = (Boz/L) + (Boy/L) k, where Bo is a positive constant. Figure y (0, L) (0, 0) ½ (L, L) (L, 0) 1 of 1 X Part F Find the direction of the force on side 1, that runs from (L, L) to (L, 0). O +x-direction --direction O+y-direction -y-direction O+z-direction. 0 -z-direction 0 Submit Previous Answers ✓ Correct Part G Find the magnitude of the force on side 4, that runs from (L, 0) to (0, 0). Express your answer in terms of the variables Bo, L, and I. 195 ΑΣΦ ?

A long, straight, cylindrical conductor contains a cylindrical cavity whose axis is displaced by n from the axis of the conductor, as shown in the accompanying figure. The current density in the conductor is given by J=J0k, where J0 is a constant and k is along the axis of the conductor. Calculate the magnetic field at an arbitrary point P in the cavity by superimposing the field of a solid cylindrical conductor with radius R1and current density Jonto the field of a solid cylindrical conductor with radius R2and current density J . Then use the fact that the appropriate azimuthal unit vectors can be expressed as 1=kr1and 2=kr2 to show that everywhere inside the cavity the magnetic field is given by the constant B=120J0ka , where a=r1r2 and r1=r1r1 is the position of P relative to the center of the conductor and r2=r2r2 is the position of P relative to the center of the cavity.

Consider a right circular cylinder of radius R, with mass M uniformly distributed throughout the cylinder volume. The cylinder is set into rotation with angular speed ω about its longitudinal axis. (a) Obtain an expression for the angular momentum L of the rotating cylinder. (b) If charge Q is distributed uniformly over the curved surface only, find the magnetic moment µ of the rotating cylinder. Compare your expressions for µ and L to deduce the g factor for this object.

The potential difference V(t) between parallel plates shown above is instantaneously increasing at a rate of 107V/s. What is the displacement current between the plates if the separation of the plates is 1.00 cm and they have an area of 0.200m2?

At a particular instant an electron is traveling west to east with a kinetic energy of 10 keV. Earth's magnetic field has a horizontal component of 1.8105 T north and a vertical component of 5.0105 T down. (a) What is the path of the election? (b) What is the radius of curvature of the path?

An electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's field, which has a strength of 5.0105 T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a collection,)

The force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of 100 m/s, how strong must the field gradient dBz/dz be in order to deflect the beam 1 mm?

The magnetic dipole moment of the iron atom is about 2.11023Am2 . (a) Calculate the maximum magnetic dipole moment of a domain consisting of 1019 iron atoms, (b) What current would have to flow through a single circular loop of wire of diameter 1.0 cm to produce this magnetic dipole moment?

A 40-cm by 6.0-cm rectangular current loop carries a current of 10 A. What Is the magnetic dipole moment of the loop?

The Hall effect is to be used to find the density of charge carriers in an unknown material. A Hall voltage 40 V for 3-A current is observed in a 3-T magnetic field far a rectangular sample with length 2 cm, width 1.5 cm, and height 0.4 cm, Determine the density of the charge carriers.