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A Dynamical Theory of the Electromagnetic Field by James Clerk Maxwell

By James Clerk Maxwell

An unabridged, unaltered version in seven elements, to incorporate: Introductory - On Electromagnetic Induction - normal Equations of the Electromagnetic box - Mechanical activities within the box - thought of Condensers - Electromagnetic idea of sunshine - Calculation of the Coefficients of Electromagnetic Induction

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Two pieces of freshly pulled tape about 7 cm long are folded up into balls and stuck on the ends of a thread having a total length of about 20 cm. The middle of the thread is then tied up so that the charged balls of tape are suspended free to swing. ) It is then easy to measure approximately l and r, as defined in the figure. The force of repulsion that separates the “balls” of tape is presumably predicted by (15). In Fig. 10, the vertical component of the tension in the thread must balance the gravitational force Mg (where g is the gravitational acceleration and M is the mass).

1, the net charge is deduced from mechanical measurements and Coulomb’s force law. Here that same charge is deduced electrically. The “ball” carrying the charge is stuck to the end of a thin plastic rod, as in Fig. 5. The objective is to measure this charge, q, without removing it from the ball. We know from the discussion of Gauss’ law in Sec. 3 that this charge is the source of an electric field. In general, this field terminates on charges of opposite sign. Thus, the net charge that terminates the field originating from q is equal in magnitude and opposite in sign to q.

4 Amp`ere’s Integral Law 25 Fig. 5 Demonstration of peak magnetic flux density induced by line current of 6 ampere (peak). Fig. 6 Uniform current density Ko is z directed in circular cylindrical shell at r = R. Radially discontinuous azimuthal field shown is determined using the contour at arbitrary radius r. is azimuthal. To determine that field, Amp`ere’s integral law is applied to a contour having the arbitrary radius r, shown in Fig. 6. As in the previous illustration, the line integral is the product of the circumference and Hφ .

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