Calculate the magnitude and direction of the magnetic field at the point P for the configuration below. The loops are 10 cm in diameter and 10 cm away from each other. The point P is exactly in the middle point between the two loops. The direction of the current in each loop is shown in the picture and its magnitude is equal to 1.3A

3. DETAILS MY NOTES You are working during the summer at a company that builds theme parks. The company is designing an electromagnetic propulsion system for a new roller coaster. A model of a substructure of the device appears in the figure below. The rod is of length d = 1.00 m and mass m = 0.700 kg. The rod carries a current I = 100 A in the direction shown and rolls along the rails of length L = 15.0 m without slipping. The entire system of rod and rails is immersed in a uniform downward-directed magnetic field with magnitude 8 = 1.90 T. The electromagnetic force on the rod is parallel to the rails, causing the rod to roll to the right in the figure. When a full-scale device is produced, this rod will represent the axle of wheels on which the car and i on the grounds of the company. By projecting the rod from the rails in a horizontal direction from a height h = 1.80 m, the projection speed can be determined from how far from the ends of the rails the rod hits the ground. Your…

9. The figure below shows two crossed wires that are carrying currents (1, = 66.0 A and l, = 50.0 A ). What is the magnitude of the total magnetic field at point (P) where a = 16.5 cm and b = 6.80 cm? b

The diagram below shows two concentric, conducting, circular loops with currents traveling in opposite directions. If the current in the outer loop is I2  = 90.0 μA, what must be the magnitude of the current in the inner loop so that the total magnetic field at the center, C, of both loops is zero? a. 60.0 μA   b. 45.0 μA   c. 90.0 μA   d. 75.0 μA   e. 105 μA

An electron is introduced into a uniform magnetic field, Bx = 50.0 μTesla directed at right angles to the electron’s velocity vy = 5 x105 m/s. The electron subsequently moves in a circular path. What is the radius of the circular path? Select one: a. 2.84 cm b. 5.68 cm c. 56.8 cm d. 2.84 m

The diagram below shows two, thin, infinitely-long, parallel conducting wires that are separated by a perpendicular distance of 2.0 cm. What is the coordinate on the y-axis where the total magnetic field is zero?     a. y = 4.8 cm   b. y = 5.6 cm   c. y = 4.4 cm   d. y = 6.6 cm   e. y = 5.2 cm

1.  A DC power line for a light-rail system carries 950 A at an angle of 33° to the Earth’s 5.00 × 10-5 T magnetic field. What is the magnitude of the force (in N) on a 125 m section of this line?  2. Consider a 150 turn square loop of wire 15.5 cm on a side that carries a 56 A current in a 1.6 T field. What is the maximum torque on the loop of wire in N⋅m?  What is the magnitude of the torque in N⋅m when the angle between the field and the normal to the plane of the loop θ is 14°?  3.  Consider two two long, straight, parallel, current-carrying wires, separated by a distance d = 4.5 cm, as shown in the figure. The left wire is directed out of the page with current I1, and the right wire is directed into the page with current I2. The point P is a distance d from both wires, so the wires and the point form an equilateral triangle. If both wires are carrying a current of 3.5 A, what is the magnitude of the magnetic field, in teslas, at point P?  If the current from the left wire is 3.5 A…

1. A wire runs from north to south        a. A compass needle placed above the wire points with its north pole        toward the east. In what direction is the current flowing?         b. If a compass is placed underneath the wire, in which direction will its needle point?   2. What will be the direction of the magnetic field if the current is due upward?   3. How does the magnitude of the current passing through the conductor affect the magnetic field?

3. Current head-on to point P: Consider the case where the current is heading straight toward the point where we want the magnetic field. What is the magnetic field at the point P shown? Hint: consider a small piece ds and think about what the Biot-Savart law tells you. Holds x f 4πr2 Think about the angle between ds and î. dB 7 D P

18. Two very long conductors (both oriented in the same plane) are shown in the sketch below. The same magnitude of conventional current in each is represented by the red arrows. The black dot is at a position (in the same plane) equidistant between the conductors. Determine the direction of the magnetic field at the position of the black dot. A. There is no magnetic field at this position. B. The magnetic field is oriented out of the page. C. The magnetic field is oriented into the page. D. The magnetic field is oriented to the left. E. The magnetic field is oriented to the right.