A metal rod of length 18.6 cm and mass 108 g is free to slideover two parallel, horizontal metallic rails connected to a 10.0 Vbattery (see figure below). The battery has internal resistance of0.100 Î©, and the rod and rails have negligible resistance. A 2.20 Tmagnetic field is directed perpendicular to the plane of thecircuit.

(a) Find the magnetic force on the rod.

magnitude : ?????

direction: ???? (Ithink it is too the right)

(b) Find the rod's speed after it has moved 28.2 cm, assumingnegligible friction.

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A metal rod of length 18.0 cm and mass 109 g is free to slide overtwo parallel, horizontal metallic rails connected to a 10.0 Vbattery (see figure below). The battery has internal resistance of0.100 O, and the rod and rails have negligible resistance. A 1.98 Tmagnetic field is directed perpendicular to the plane of thecircuit. Find the rod's speed after it has moved 27.0 cm, assumingnegligible friction.

I found F=35.64 N

Part A A rail gun uses electromagnetic forces to accelerate a projectile to very high velocities. The basic mechanism of acceleration is relatively simple and can be illustrated in the following example. A metal rod of mass 20.0 g and electrical resistance 0.300 22 rests on parallel horizontal rails that have negligible electric resistance. The rails are a distance L = 5.00 cm apart. (Figure 1)The rails are also connected to a voltage source providing a voltage of V = 5.00 V. The rod is placed in a vertical magnetic field. The rod begins to slide when the field reaches the value B = 0.116 T. Assume that the rod has a slightly flattened bottom so that it slides instead of rolling. Use 9.80 m/s for the magnitude of the acceleration due to gravity. Find is the coefficient of static friction between the rod and the rails.

crimsonchinchilla487

1)As shown in the figure, a uniform conducting rod of length 0.40 m and mass 0.075 kg is in rotational equilibrium about the hinge at point O. A uniform magnetic field of 0.23 T is directed out of the plane of the page, perpendicular to the rod. Due to a battery and wires not shown, there is a current of 4.0 A in the rod directed toward point O. Determine the angle θ.

2)As shown in the figure, a conducting rod with a length of 0.79 m is placed on a horizontal frictionless surface and attached to a power supply by two springs, each with a spring constant of 81 N/m. The springs are initially at their equilibrium length and are in a region where there is a uniform magnetic field of 0.17 T that is perpendicular to the frictionless surface when the power supply supplies a current that causes the wire to move in such a direction that the two springs are stretched.