The figure below shows a cube with side length d = 16.1 cm with one of its corners at the origin. The cube is subject to a uniform magnetic field B = (5i – 6j - 9k) T. d y (a) What is the magnetic flux through the top face of the cube? Wb (b) What is the total magnetic flux through all six faces of the cube? Wb

I R The radius of a long, solid, cylindrical conductor is R = 8.0 cm. A current I = 1.0 A is uniformly distributed through the conductor and is flowing out of the page. Calculate the magnitude of the magnetic field at r = 3.2 cm? OA) 2.5 x 10-10 T O B) 25 T ○ C) 10-6 T OD) 6.25 x 10-5 T ○ E) 0.25 T

In the figure, point P2 is at perpendicular distance R = 25.1 cm from one end of straight wire of length L= 14.1 cm carrying current i = 0.727 A. (Note that the wire is not long.) What is the magnitude of the magnetic field at P2? Pe R R Number Units

= A very long wire carries an i₁ 4 A current along the x axis and another long wire carries an i2 = 9.5 A current along the y axis. What is the magnetic field at point P located at a = 7.9 m and b = 3.8 m? Use out of the page as the positive direction. y i₂ a The magnetic field at P, B = i₁ P b Units HT X

6.0 cm Question 1/1e As shown in the figure, an insulated wire is bent into a circular loop of radius 6.0 cm and has two long straight sections. The loop is in the xz plane, with the center at the origin. The straight sections are parallel toe y axi The wire carries a current of I-3.0 A. What is the magnitode of the magnetic field at the origin? (g 4x 107T-m/A) 1. 33 T 2 055 T 3. 077 uT 4 099 T 5.0121 T < o O

Suppose you wish to produce a 2-T magnetic field in a toroid with an iron core for which magnetic susceptibility is x=3 x 10³. The toroid has a mean radius of 18 cm and is wound with 600 turns. Hint с a. What current is required to produce this magnetic field in the iron core? Current of A is needed. b. For comparison, what current is required to produce the same magnetic field in an air-filled toroid of same geometry? Current of While it is not always practical to have region of magnetic field filled with ferromagnetic materials, this dramatic increase in strength of magnetic field produced is useful in some applications you will see in upcoming chapters. Submit Question 4 A is needed for toroid with no iron core. % Search or type URL 5 MacBook Pro < 6 A 6 7 * 8 ( 9

The uniform 30 mT magnetic field in figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 3.0 x 106 m/s and at an angle of ô = 30° above the xy-plane. Find the radius r and the pitch p of the electron's spiral trajectory. Z B 4

A wire arrying 18 amps in the z direction through a magnetic field with an x component of 0.19 T, a y component of 0.21 T, and a z component of 2.9 T.  What is the magnitude of the force on a 9 meter segment of wire?  answer in N.

A long straight wire carries a current of 40 A in a region where a uniform external magnetic field has a 30 µT magnitude and is parallel to the current. What is the magnitude of the resultant magnetic field at a point that is 3.5 cm from the wire? a. 230.53 µT b. 77.74 µT с. 65.31 иT d. 428.67 μΤ e. 30.00 µT