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[LECS/EM-01003] Motion of Charges in Electric and Magnetic Fields

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Several examples of motion of  charges in electric and magnetic fields are presented.

Thomson’s Method for e/m

Thomson passed electrons through a region having mutually perpendicular electric and magnetic field, and both perpendicular to the velocity of the electrons. The fields were adjusted so as to produce no deflection. This enabled him to measure the \(e/m\) of electrons.

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Thomson’s parabola method

The parabola method was used to measure charge to mass ratio of the electron by measuring the deflection of the electrons when they pass through a uniform electric field. The method is described here and an expression for \(e/m\) in terms of the deflection of the electron.

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Cyclotron Motion

The cyclotron was invented to accelerate charged particles by means of electric field as they move in a circle due to a magnetic field. Here the parameters of orbit of a charged particle in a magnetic field are obtained.

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Hall Effect

The Hall effect described here provided an early method to study the effect of magnetic field on a current. An expression for Hall voltage and Hall resistance is obtained in this section.

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