A 9-cm-long straight wire is parallel with the x axis and carries a current of 1.9A in the +x direction. The force on this wire due to the presence of a magnetic field B is 2.7N ^j +1.7N ^k. If this wire is rotated so that it is parallel with the y axis with the current in the +y direction, the force on the wire becomes is −2.7N ^I −1.7N ^k. Determine the magnetic field B.

An alpha particle travels at a velocity of magnitude 670 m/s through a uniform magnetic field of magnitude 0.059 T. (An alpha particle has a charge of charge of +3.2 x 1019 C and a mass 6.6 × 10-27 kg) The angle between the particle's direction of motion and the magnetic field is 49°. What is the magnitude of (a) the force acting on the particle due to the field, and (b) the acceleration of the particle due to this force? (c) Does the speed of the particle increase, decrease, or remain the same? (a) Number i Units (b) Number Units (c)

The horizontal component of the Earth's magnetic field has a magnitude of 1.6 x 105 T. An electron is shot vertically straight up from the ground with a speed of 2.1 x 106 m/s. What is the magnitude of the acceleration caused by the magnetic force? Ignore the gravitational force acting on the electron.

An alpha particle has a positive charge that is double the charge of a proton, and a mass of 6.64 ✕ 10−27 kg. At a particular instant, it is moving with a speed of 5.00 ✕ 106 m/s through a magnetic field. At this instant, its velocity makes an angle of 62° with the direction of the magnetic field at the particle's location. The magnitude of the field is 0.230 T. (a) What is the magnitude of the magnetic force (in N) on the particle?   (b) What is the magnitude of the particle's acceleration (in m/s2) at this instant?

A wire lying along an x axis from x = 0 to x = 0.823 m carries a current of 2.71 A in the positive x direction. The wire is immersed in a nonuniform magnetic field given by B = (4.35 T/m²)x²î - (0.614 T/m²)x².In unit-vector notation, what is the magnetic force on the wire? Number ( i + i + i k) Units N T

The earth's magnetic field is about 45 micro Tesla (μT) and points approximately due north. What is the force exerted by the field on a particle with a charge of 3.0 μC that is moving due west at a speed of 250 m/s? What is the direction of the force on the particle (i.e. north, south, east, west, up or down)?

A physicist builds an apparatus to measure the charge to mass ratio of ions. An ion is first accelerated to a speed of 7.50 x 10' m/s. It then passes through a region of magnetic field, with a magnitude of 2.51 x 10¬2 T, perpendicular to the ion's velocity. Because the ion is moving so fast, it is only in the presence of the magnetic field for 2.00 x 10-7 s. Upon exiting the magnetic field, the scientist measures that the ion was deflected a distance of 3.00 cm in a direction perpendicular to its initial velocity. (a) What is the ratio of the absolute value of the ion's charge to its mass (in C/kg)? Assume the velocity change is small, and that the component of the velocity along the ion's original direction does not change noticeably. C/kg m (b) Suppose the physicist determines the ion is singly charged; that is, the magnitude of its charge is that of a proton. What is the mass of the ion (in kg)? kg

A straight 7.757 m wire carries a current of 0.895 A. If the wire is passed through a region of space with a uniform magnetic field of 0.665 T that is perpendicular to the flow of current, what is the magnitude of the force on the wire?

Current I = 30 A flows in a straight wire. An ion with charge Q = 3.2e-19 C is moving toward the wire, at distant r = 0.10 m, with speed v = The magnetic force on the ion is antiparallel to the current. What is the magnitude of the force? (in N) 6.00×106 m/s. A: 3.682x10-17 B: 4.897x10-17 OC: 6.513x10-17 OD: 8.662x10-17 E: 1.152x10-16 OF: 1.532x10-16 OG: 2.038×10-16 OH: 2.710×10-16

A proton is propelled at 4××1066 m/s perpendicular to a uniform magnetic field. 1)If it experiences a magnetic force of 4.8×10−13 N, what is the strength of the magnetic field? (Express your answer using two significant figures.)