Point Charges in Uniform Magnetic Fields Lesson Plan

🔖 Topics

Derive the expression for the radius of a particle traveling in uniform circular motion in a magnetic field
Analyze the motion of charged particles in a mass spectrometer
Analyze the motion of charged particles in a velocity selector
Become more comfortable with the right-hand rule for a charged particle in a magnetic field

An ion with a charge of +2.5 mC and an unknown mass moves in a circle of radius 12.5 cm when inside a magnetic field of 1.2 T. If the speed of the ion is 100 m/s, what is the mass of the ion?
A uniform magnetic field points vertically upward with a strength of 0.5 T. An electron with kinetic energy $2.5 \times 1 0^{- 18} J$ is moving horizontally in this field. What is the magnetic force acting on the electron? The mass of an electron is $9.11 \times 1 0^{- 31} k g$ and the charge on an electron is $1.6 \times 1 0^{- 19} C$ .
A proton enters a uniform magnetic field of $1.0 \times 1 0^{- 4} T$ with an initial speed of $5 \times 1 0^{5} m / s$ . At what angle must the magnetic field be from the velocity so that the pitch of the resulting helical motion is equal to the radius of the helix? The pitch of the particle is given by the component of velocity parallel to the magnetic field multiplied by the period of motion: $p = v_{p a r a ll e l} T$
A proton is fired into a region of uniform magnetic field such that its initial velocity is perpendicular to the direction of the field. If I were to double the initial speed of the proton, does the period of the motion increase, decrease, or stay the same? Explain your answer.

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