For a charged particle moving in the presence of a magnetic field, equation (1)

Question

For a charged particle moving in the presence of a magnetic field, equation (1) in the handout was obtained starting with the fact that the centripetal force on a particle moving in a circular orbit is equal to the magnetic force on that particle. Use this information to rank the particles in order of the speed at which they are moving. What might account for the spiraling effect, i.e. a circle with a radius that decreases with time, as displayed by particles 1 and 2? If during the experiment the current, I, through the Helmholtz coils was increased to twice (2x) its original value. What experimental parameters will change as a result? This will cause the 8-field to change by a factor of: This causes the radius of the path the electron beam takes to change by a factor of: This causes the ratio of e/m to change by a factor of:

Explanation / Answer

4. For a helmholtz coil, we have

B = 32*pi*N*I/(5sqrt5)   * 10^-7 Tesla

a) As current increases Twice, B changes Twice

b) a remains the same

c) e/m also remains the same

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