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Electric and Magnetic Forces

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.

space. Electric forces result from a specified distribution of charge. Consider, for instance, a low-current beam in an electrostatic accelerator. Charges on the surfaces of the metal electrodes provide acceleration and focusing. The electric force on beam particles at any position is given in terms of the specified charges by

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