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Download Worksheet – Magnetic fields 3 - Westgate Mennonite Collegiate
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WORKSHEET: F = qvBsin2 1. A beam of electrons moves at right angles to a magnetic field of strength 6.0 X 10-2 T [S]. The electrons have a velocity of 2.5 X 107 m/s [W]. What is the magnitude and direction of the force acting on each electron? (2.4 X 10-13 N [D]) 2. An electron passes through a magnetic field at right angles to the field at a velocity of 4.0 X 106 m/s [U]. The strength of the magnetic field is 0.50 T [L]. What is the magnitude and direction of the force acting on the electron? (3.2 X 10-13 N [F]) 3. A stream of doubly ionized particles (missing two electrons) moves at a velocity of 3.0 X 104 m/s [R] perpendicularly to a magnetic field of 9.0 X 10-2 T [D]. What is the magnitude and direction of the force acting on each ion? (8.64 X 10-16 N [F]) 4. a) b) A beta particle (an electron moving really fast) is traveling at right angles to a magnetic field of induction 0.6 T [N]. If the particle has a speed of (2.4 X 10-12 N [D]) 2.5 X 107 m/s [E], what force acts on the particle? The mass of an electron is about 9.0 X 10-31 kg. What acceleration does the beta particle undergo in the direction of the force acting on it? (2.67 X 1018 m/s2) 5. A singly ionized particle experiences a force of 4.1 X 10-13 N [U] when it travels at right angles through a magnetic field of induction 0.61 T [R]. What is the velocity of the particle (magnitude and direction)? (4.2 X 106 m/s [B]) 6. A force of 5.78 X 10-16 N acts on an unknown particle traveling at a 90E angle through a magnetic field. If the velocity of the particle is 200 000 km/h and the induction of the field is 3.20 X 10-2 T, how many elementary charges does the particle carry? (2) 7. a) b) Triply-ionized particles in a beam carry a net positive charge of three elementary charge units. The beam enters a field of magnetic induction 4.0 X 10-2 T [D] and the particles have a velocity of 9.0 X 106 m/s [D30ER]. What is the magnitude of (8.6 X 10-14 N) the force acting on each particle? Triply-ionized particles in a beam carry a net positive charge of three elementary charge units. The beam enters a field of magnetic induction 4.0 X 10-2 T [D] and the particles have a velocity of 9.0 X 106 m/s [R30ED]. What is the magnitude of (1.5 X 10-13 N) the force acting on each particle? 8. Doubly-ionized helium atoms (alpha particles) are traveling through a magnetic field at a velocity of 4.0 X 104 m/s [S15EW]. The induction of the field os 5.0 X 10-2 T [W]. What is the magnitude of the force that acts on each particle? (6.2 X 10-16 N) 9. a) A muon (a particle with the same charge as an electron) is traveling at 4.21 X 107 m/s [E] which happens to be at right angles to the magnetic field. The muon experiences a force of 5.00 X 10-12 N [D]. What is the induction of the field? (0.74 T [N]) b) The mass of a muon os 1.88 X 10-28 kg. What acceleration does the muon experience? (2.8 X 1016 m/s2)