Transcription of Electric and Magnetic Forces
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Electric and Magnetic Forces263 Electric and Magnetic ForcesElectromagnetic Forces determine all essential features of charged particle acceleration andtransport. This chapter reviews basic properties of electromagnetic Forces . Advanced topics, suchas particle motion with time-varying Forces , are introduced throughout the book as they is convenient to divide Forces between charged particles into Electric and magneticcomponents. The relativistic theory of electrodynamics shows that these are manifestations of asingle force. The division into Electric and Magnetic interactions depends on the frame ofreference in which particles are introduces electromagnetic Forces by considering the mutual interactions betweenpairs of stationary charges and current elements. Coulomb's law and the law of Biot and Savartdescribe the Forces .
quantity H,andB is called the magnetic induction.) In terms of the field, the magnetic force on i dl is Equation (3.5) involves the vector cross product. The force is perpendicular to both the current element and magnetic field vector. An expression for the total electric and magnetic forces on a single particle is required to treat beam dynamics.
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