| Problem 13: A negative charge of q = -8.1 × 10-¹7℃ and m = 5.5 x 10-26 kg enters a magnetic field B = 0.45 T with initial velocity v = 110 m/s, as shown in the figure. The magnetic field points into the screen. Randomized Variables q=-8.1 x 10-17 C m = 5.5 x 10-26 kg B = 0.45 T v = 110 m/s X X X X X X X X X X X X X V X X X X X X X X X X X X X X X

03). In electromagnetism, force F, on a moving charge in a magnetic field is found using the below cross product, F = q(v× B) Where B is the magnetic field vector Bx = By F=2.0Nî – 10.0Nj +6.0Nk, v = 2.0" î + 4.0™ j +6.0- m : m m a) Find B in unit vector notations. b) Find the magnitudes of F and B

Part (a)  Express the magnitude of the magnetic force in terms of the current I, length L and the magnetic field B. F = ______  Part (b)  Given the fact that the wire is floating at rest, derive an expression for B.  B = ______ Part (c)  Calculate the numerical value of B in tesla.  B = ______

A long straight wire carries a 1.5 A current. An electron moves parallel to the wire at speed 3.1 x 104 m/s. The distance between the electron and the wire is 8 cm. Calculate the magnitude of the magnetic force on the electron.(Give your answer in newtons but don't include the units.)

Two long parallel wires carry currents of 2.15 A and 7.55 A. The magnitude of the force per unit length acting on each wire is 6.21 x 10-5 N/m. Find the separation distance d of the wires expressed in millimeters. d = mm

Three very long straight and parallel wires carry current in the same direction (out of the page). The amount of current in each wire and the distances between the wires are as shown in the diagram. Determine the magnetic force per unit length on the middle wire. Give your answer for the magnitude of the force per unit length either in mN but do not include the units in the answer box. 2.14 20 A 2.0 cm 10 A 4.0 cm 15 A

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.

Consider the same situation as in the previous problem. This time the magnet has mass 6.31 kg and the force pulling themagnet to the right has magnitude 157.8 N. What is the magnitude of the tension force in the cord?A) 219.7 NB) 155.7 NC) 300.3 ND) 169.5 N

Find the magnitude of magnetic field in a long straight wire at 5.0 cm from the wire. The magnitude of the current is 50A. ?0 = 4? × 10^−7 T. ?⁄?

A long straight wire carries a 1.5 A current. An electron moves parallel to the wire at speed 3.1 x 104 m/s. The distance between the electron and the wire is 8 cm. Calculate the magnitude of the magnetic force on the electron.(Give your answer in newtons but don't include the units.)