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27.22 •• A beam of protons traveling at 1.20 km/s enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to its original direction (Fig. E27.22). The beam travels a distance of 1.18 cm while in the field. What is the magnitude of the magnetic field? Section 27.5 Applications of Motion of Charged Particles 27.23 • Crossed ?E and ?B Fields. A particle with initial velocity ?v0 = (5.85 !! 10^3 m/s)? enters a region of uniform electric and magnetic fields. The magnetic field in the region is ?B = –(1.35 T)k?. Calculate the magnitude and direction of the electric field in the region if the particle is to pass through undeflected, for a particle of charge (a) +0.640 nC and (b) –0.320 nC. You can ignore the weight of the particle. 27.24 • (a) What is the speed of a beam of electrons when the simultaneous influence of an electric field of 1.56 !! 10^4 V/m and a magnetic field of 4.62 !! 10^–3 T, with both fields normal to the beam and to each other, produces no deflection of the electrons? (b) In a diagram, show the relative orientation of the vectors ?v, ?E, and ?B. (c) When the electric field is removed, what is the radius of the electron orbit? What is the period of the orbit? 27.25 •• A 150 V battery is connected across two parallel metal plates of area 28.5 cm^2 and separation 8.20 mm. A beam of alpha particles (charge +2e, mass 6.64 !! 10^–27 kg) is accelerated from rest through a potential difference of 1.75 kV and enters the

          27.22 •• A beam of protons traveling at 1.20 km/s enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to its original direction (Fig. E27.22). The beam travels a distance of 1.18 cm while in the field. What is the magnitude of the magnetic field?

Section 27.5 Applications of Motion of Charged Particles
27.23 • Crossed ?E and ?B Fields. A particle with initial velocity ?v0 = (5.85 !! 10^3 m/s)? enters a region of uniform electric and magnetic fields. The magnetic field in the region is ?B = –(1.35 T)k?. Calculate the magnitude and direction of the electric field in the region if the particle is to pass through undeflected, for a particle of charge (a) +0.640 nC and (b) –0.320 nC. You can ignore the weight of the particle.
27.24 • (a) What is the speed of a beam of electrons when the simultaneous influence of an electric field of 1.56 !! 10^4 V/m and a magnetic field of 4.62 !! 10^–3 T, with both fields normal to the beam and to each other, produces no deflection of the electrons? (b) In a diagram, show the relative orientation of the vectors ?v, ?E, and ?B. (c) When the electric field is removed, what is the radius of the electron orbit? What is the period of the orbit?
27.25 •• A 150 V battery is connected across two parallel metal plates of area 28.5 cm^2 and separation 8.20 mm. A beam of alpha particles (charge +2e, mass 6.64 !! 10^–27 kg) is accelerated from rest through a potential difference of 1.75 kV and enters the

27.22 •• A beam of protons traveling at 1.20 km/s enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to its original direction (Fig. E27.22). The beam travels a distance of 1.18 cm while in the field. What is the magnitude of the magnetic field?

Section 27.5 Applications of Motion of Charged Particles
27.23 • Crossed ?E and ?B Fields. A particle with initial velocity ?v0 = (5.85 !! 10^3 m/s)? enters a region of uniform electric and magnetic fields. The magnetic field in the region is ?B = –(1.35 T)k?. Calculate the magnitude and direction of the electric field in the region if the particle is to pass through undeflected, for a particle of charge (a) +0.640 nC and (b) –0.320 nC. You can ignore the weight of the particle.
27.24 • (a) What is the speed of a beam of electrons when the simultaneous influence of an electric field of 1.56 !! 10^4 V/m and a magnetic field of 4.62 !! 10^–3 T, with both fields normal to the beam and to each other, produces no deflection of the electrons? (b) In a diagram, show the relative orientation of the vectors ?v, ?E, and ?B. (c) When the electric field is removed, what is the radius of the electron orbit? What is the period of the orbit?
27.25 •• A 150 V battery is connected across two parallel metal plates of area 28.5 cm^2 and separation 8.20 mm. A beam of alpha particles (charge +2e, mass 6.64 !! 10^–27 kg) is accelerated from rest through a potential difference of 1.75 kV and enters the

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