A conducting rod of mass m = 50 g can freely slide down along the two vertical rail tracks as show below. The tracks are parallel to each other, separated by the distance = 35 cm, and connected with a capacitance C= 151 mF (the entire system form a circuit). Find the acceleration of the rode if the there is an external uniform magnetic field B = 1.6 T perpendicular to the tracks. Take g = 9.81 m/s². O B m AWww

Diamagnets have the property that they "dampen" the effects of an external magnetic field by creating an opposing magnetic field. The diamagnet thus has an induced dipole moment that is anti- aligned, such that the induced north pole is closer to the north pole creating the external field. An application of this is that diamagnets can be levitated 2. Now, the mathematics of generally describing a force by a non-uniform field on a dipole is a little beyond the scope of this course, but we can still work through an approximation based on energy. Essentially, whenever the theoretical loss of gravitational potential energy from "falling" no longer can "pay the cost" of increasing the magnetic potential energy, the object no longer wants to fall. Suppose a diamagnetic object floats above the levitator where the magnitude of the magnetic field is 12 T, which is inducing" a magnetic dipole moment of 4.6 LA - m² in the object. The magnetic field 1.9 mm below the object is stronger with a…

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An infinitely long wire is wrapped around an infinitely long cylinder of radius R making n turns per unit with steady current I. If the cylinder axis points into/out of the page, determine the directions of the velocity for a charged particle that is launched inside the cylinder such that it experiences zero magnetic force.

Consider the system pictured in the figure below. A 15.7-cm horizontal wire of mass 15.1 g is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. The wire is free to move vertically without friction on the two vertical conductors. When a 5.20-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire? (Select all that apply.) O electric force O gravitational force O magnetic force (b) Under what condition is the wire able to move upward at constant velocity? (c) Find the magnitude and direction of the minimum magnetic field required to move the wire at constant speed. magnitude direction ---Select--- (d) What happens if the magnetic field exceeds this minimum value?

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