A wire in the shape of an "M" lies in the plane of the paper as shown in the figure. It carries a current of 1.76A, flowing from points A to B, to C, to D, then to E. It is placed in a uniform magnetic field of 0.81T in the same plane, directed as shown in the figure. The dimensions of the wire is given AB = DE 11.4m; BC = CD= 6.35m; and 0-40.0°. Find the magnitude of the force acting on the entire wire. B 0 C 100 0 O E

You wish to construct a solenoid with a diameter of 2.00 cm that will produce a magnetic field of 6.20 × 10¬2 T at its center when a current of 14.0 A is passing through the coils. You want the resistance of the coil wire to be 5.60 . The resistivity of the wire used is 1.70 x 10-8 N:m (at 20.0°C), and you are using a wire that has a cross sectional area of 3.14 × 10¬8 m². (Note that this solenoid may not necessarily be so tightly wound that the adjacent loops of wire will touch each other. Nonetheless, you may assume that it behaves like an ideal solenoid.) Determine the following. (a) number of turns needed on the solenoid turns (b) length of the solenoid

1. A metal rod moves at a constant speed v along two parallel metal rails connected by metal at one end as shown in the figure.  A magnetic field of magnitude B = 0.125 T is directed out of the ground.  (a) If the two rails are L = 25.0 cm apart and the speed of the rod is v = 38.0 cm / s, what is the electromotive force generated?  (b) If the resistance of the rod is 18.0 omega and the resistance of the two rails and the connecting wire is neglected, what is the current flowing through the rod?  (c) Find the rate of conversion to heat energy.  (d) What is the magnitude of the force that causes the bar to move to the left?

As shown in the figure below, two long parallel wires (1 and 2) carry currents of I1 = 3.26 A and I2 = 4.75 A in the direction indicated.   (a) Determine the magnitude and direction of the magnetic field at a point midway between the wires (d = 10.0 cm). magnitude      µT direction      ° counterclockwise from the +x-axis (b) Determine the magnitude and direction of the magnetic field at point P, located d = 10.0 cm above wire 1. magnitude      µT direction      ° counterclockwise from the +x-axis

A copper rod 0.175 m long and with a mass of 0.0529 kg is suspended from two thin, flexible wires, as shown in the sketch. At right angles to the rod is a uniform magnetic field of 0.615 T pointing into the page. Find the magnitude of the electric current needed to levitate the copper rod. Answer Units: [A] B mg magnetic

The figure below shows a cross section of a long thin ribbon of width w = 5.72 cm that is carrying a uniformly distributed total current i = 3.76 µA into the page. Calculate the magnitude of the magnetic field at a point Pin the plane of the ribbon at a distance d = 2.60 cm from its edge. (Hint: Imagine the ribbon as being constructed from many long, thin, parallel wires.) Number Units

Suppose the 50 turn coil in the figure below lies in the plane of the page and originally has an area of 0.230 m². It is stretched to have no area in 0.100 s. X Bin XBin X V What is the direction? clockwise X counterclockwise X X What is the magnitude (in V) of the average value of the induced emf if the uniform magnetic field points into the page and has a strength of 1.75 T? X X 192 X

If a current is 2.0 A, how many turns per centimeter must be wound on a solenoid in order to produce a magnetic field of 2.0 × 10−3 T within it?

A 14.29m wire carries a current of 76.32mA perpendicular to a uniform magnetic field of magnitude 2.99T. What is the magnitude of the force the wire experiences due to the presence of the magnetic field? Note: It is understood that the unit of your answer is in Newtons, however do not explicitly include units in your answer. Enter only a number. If you do enter a unit, your answer will be counted wrong.

Two long, straight, parallel wires are shown in the figure below. The current in the wire on the left is triple the current in the wire on the right. Find an expression for the magnetic field at points A and B. Use the indicated coordinate system to write your answer in component form. (Use the following as necessary: I₂, r, Mo.) 340/2 î 0 Ĵ+ 0 k BA 2πr 7μ0²2 k Ĵ + 0 0 BB бпр B = + + X 12 Ā 2r