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Electric and Magnetic Forces - MIT

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 . Stationary charges interact through the Electric force.

The Maxwell equations (Section 3.3) are direct relations between electric and magnetic fields. The equations determine how fields arise from distributed charge and current and specify how field components are related to each other. Electric and Magnetic Forces 27

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