Particles each with mass m and charge q accelerate through

Question

Question: Particles each with mass m and charge q accelerate through a potential difference of V = 100 volts and enter a region of uniform magnetic field B, where their paths are circular with radius R = 0.05m as shown in Fig. The magnitude of the field is B = 6.75 × 10-4 T.

a. Indicate the direction of B on a drawing.

b. Derive the following relationship between the radius R and q, m, V , and B:

R² = m 2V
       q  B²

c. Find the value of the charge-to-mass ratio (q/m) of these particles and identify them. Justify your answer!

Fig. - Accelerated charged particles enter a uniform magnetic field.