In the figure, a small particle of charge -1.7 × 10-6 C and mass m = 2.1 × 10-12 kg has speed v0 = 7.1 × 103 m/s as it enters a region of uniform magnetic field. The particle is initially traveling perpendicular to the magnetic field and is observed to travel in the semicircular path shown with radius R = 3.0 cm. Find the magnitude and direction of the magnetic field in the region. Make sure to explain how you've determined the direction of the magnetic field

A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 3.65E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the radius of the cyclotron orbit trajectory that this particle will move along (in m)?

Problem 2: = A particle with charge +2.0 C moves through a uniform magnetic field. At one instant the velocity vector is v (2î+4ĵ + 6k) m/sec and the magnetic force on the particle is F = (41-20ĵ+ 12k) N. The x and y components of the magnetic field are equal (Bx = By). Thus, the magnetic field is given by B = B×î + B×ĵ + B₂k. What are B× and B₂? Answer: Bx = -3 T and B₂ = −4 T.

A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 3.65E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the radius of the cyclotron orbit trajectory that this particle will move along (in m)?

A particle having mass m  = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 7.84E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z  direction, which is out of the plane of the page. What is the speed of the particle after 7 periods of the cyclotron motion (in m/s)?

A charge g = +1.60E-12 C moves with speed 4.324 m/s through a constant magnetic field of strength 5.65 T. The charge's velocity vector makes an angle of 25.1° with the direction of the magnetic field. What is the magnetic force exerted on the charge (in Newtons (N))?

An electron moves with velocity v =(5.0i−5.0j) ×104 m/s  in a magnetic field B = (−0.73i+0.70j) T.  Determine the z-component of the force on the electron. Express your answer using two significant figures.

A charged particle moves with a speed of 6.0×103 m/s perpendicularly into an uniform magnetic field of magnitude 0.20 T.  The charge of the particle is 5.8 ×10-16 C, mass of the particle is 1.2 ×10-21kg. (a) What is the magnitude of the magnetic force on the particle?  (b) What could be the radius of the path of the particle if it moves inside the B-field?(c) To avoid the particle being deflected by the magnetic field, (so particle can move straight through the B-field,) an electric field is applied at the same location. What is the magnitude of the E-field? HTML EditorKeyboard Shortcuts