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16 CHARGE AND FIELD Accelerating charges. Derive relativistic expressions for momentum and energy Solve problems involving particles accelerated to close to the speed of light. Electric fields. Define the term electric field Investigate uniform electric fields and plot equipotentials.
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16 CHARGE AND FIELDAccelerating charges • Derive relativistic expressions for momentum and energy • Solve problems involving particles accelerated to close to the speed of light
Electric fields • Define the term electric field • Investigate uniform electric fields and plot equipotentials
Uniform fields and Millikan’s experiment • Derive the relation E = -V/d for a uniform electric field • Explain the principles of Millikan’s experiment for determining the charge on an electron
Deflection by electric fields • Observe, model and explain the deflection of an electron beam in a uniform electric field
Deflection by magnetic fields • Explain why charged particle beams follow circular paths when injected perpendicular to a magnetic field • Determine e/m from experimental data
The bubble chamber track shown above represents a charged particle entering from the left. • The magnetic field is directed into the screen. Is the charge on the particle + or -? • Sketch the track for another particle of opposite charge to the first entering from the right. • Sketch the track of a particle entering from the left, with the same charge as the first one, but greater kinetic energy.
Particle accelerators • Explain principles of circular accelerators • Explain the need for large radius accelerators (synchrotron effect)
What is the main drawback of a linear particle accelerator? (p168) What is main the advantage of a circular accelerator over a linear one? For really high energy particle beams in a circular accelerator, why does the ring need to have a very large radius? How can scientists take advantage of the energy radiated when charged particles are centripetally accelerated? (Hint: the answer is nearby)
Crossed electric and magnetic fields • Explain the principle of, and model, an ion velocity selector that uses perpendicular electric and magnetic fields
Non uniform fields • Learn how to characterise field strength in terms of density of field lines • Use symmetry and geometry arguments to determine field strengths
Field-potential relations and Coulomb’s Law • By analogy with the gravitational case, deduce the relationship between electric field and potential • Learn and apply Coulomb’s Law