Motion of the electrons is accelerated by the

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motion of the electrons is accelerated by the electric potential (V); applied between anode P and Cathode K [1]. Using the law of Conservation of Energy, we can determine the velocity of the electrons accelerated by V with the equation which results in ; where the mass of the electron (m) is measured in kg and the electrical charge of the electron (e) is measured in C. A Lorentz Force (F = evB) is established due to the electrons perpendicular motion with velocity (v) to the uniform magnetic field (B). This force gives the electrons their circular path in a plane perpendicular to that of the magnetic field’s. Establishing a magnetic field with magnetic flux density equal to B [b/m 2 ], we can obtain the equation where r is the radius and v is the velocity of the circular motion respectively. From the previous equation, we determine , which allows for the calculation of the charge to mass ratio, or e/m, being . The magnitude of the magnetic field created due to the Helmholtz coils (H), can be calculated using the coil’s radius (R) and passing current (I) using . Here we determine , where N denotes the turns of the wire in each coil. The e/m apparatus used for this laboratory
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experiment is built of 130 turns per wire with a radius of 0.15m, establishing our final calculation of the magnetic field being . Procedure : (Broken into parts for convenience) A] Preparation 1. Connect the 6.3V power supply to the apparatus’ power terminal, then connect the 500V DC “B power supply” to the “B power” terminal of the apparatus (P = + [red terminal] and K = - [black terminal]).
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