The figure shows the cross-section of a long, straight, cylindrical coil (solenoid) of radius r = 10 cm. The number of turns per unit length is n = 500 m−1. A direct current I = 1,0 A flows clockwise in the solenoid. A charged particle accelerated by a voltage 1000 V enters into the solenoid through a gap between the coils at point A. The velocity of the particle at point A is pointing along the radius. The particle is traveling inside the solenoid in a plane perpendicular to its axis and exits at point C at an angle α = 60◦ to its initial direction. a) Determine the sign of the charge of the particle. b) What is the radius of the particle’s trajectory? c) Find the charge-to-mass (Q/m) ratio of the particle. (The magnetic permeability of vacuum is μ0 = 4π · 10−7 Vs/Am .)

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The figure shows the cross-section of a long, straight, cylindrical coil (solenoid) of radius r = 10 cm. The number of turns per unit length is n = 500 m−1. A direct current I = 1,0 A flows clockwise in the solenoid. A charged particle accelerated by a voltage 1000 V enters into the solenoid through a gap between the coils at point A. The velocity of the particle at point A is pointing along the radius. The particle is traveling inside the solenoid in a plane perpendicular to its axis and exits at point C at an angle α = 60◦ to its initial direction.
a) Determine the sign of the charge of the particle.
b) What is the radius of the particle’s trajectory?
c) Find the charge-to-mass (Q/m) ratio of the particle.
(The magnetic permeability of vacuum is μ0 = 4π · 10−7 Vs/Am .)
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