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Ratio of Q2/Q1 in a Magnetic Field

Determine the ratio of Q2 to Q1 for two charged particles with identical masses and velocities moving in circular paths in a uniform magnetic field. Apply the right-hand rule and consider the direction of the forces experienced by the particles.

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Ratio of Q2/Q1 in a Magnetic Field

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  1. Two charged particles having identical masses and velocities enter a region of uniform magnetic field, as shown in the figure. Particle  has a charge Q1 and moves in a circular path of radius r1=R. Particle  has a charge Q2 and moves in a circular path of radius r2=2R. The two paths are shown in the figure. What is the ratio Q2/Q1?       Q2, m, v B 2R        Q1, m, v R       

  2.      Q2, m, v B 2R        Q1, m, v R        F1

  3.      Q2, m, v B 2R        F2 Q1, m, v R       

  4.      Q2, m, v B 2R        Q1, m, v R       

  5. v2 The forces are not drawn to scale: F2 = F1/2. v1       Apply the right hand rule. Q1 must be positive for the F1 to be , and Q2 must be negative for F2 to be . Q2, m, v B 2R        F2 Q1, m, v R        F1

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