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The coil and magnet are closing at a relative velocity U. Under the classical approach observer (i), at rest relative to the coil, should detect an electric field arising from the motion of the magnet, (ii) whereas observer (ii), at rest relative to the magnet, detects no electric field. Eiectric field Einstein recognised that the problem lay with the application of the Newtonian conception of motion to the interpretation of electromagnetic phenomena. Under the Newtonian rationale, magnetism cannot be shown to be just the effect of relative motion on electrical interactions nor can electromagnetic induction be given a single explanation valid for all inertial observers.
The observer S' moves parallel to the XX' axis at a velocity relative to the still air whose magnitude is U = 3 0 d s . a. According to the classical rule for velocity addition, v' = v - U, the magnitude of the velocity of sound (the speed of sound) relative to the observer S' as he moves parallel to the XX' axis in the positive direction is v ' = v-(+U) = 340 - 30 = 310m/s b. -(-U) = 340 + 30 = 370m/s k X v'=v+u 34 The Birth of a New Physics c. When the observer S' moves such that the sound from the stationary source seems to him to be propagating along a path at right-angles to his, the direction of the velocity v' is perpendicular to that of U.
A quantity whose measured value is unaffected by the position or motion of the observer is said to be invariant. Thus, the laws of nature must be covariant. 24 Notwithstanding its apparent simplicity and self-evidence, the rigorous application of observer equivalence-the principle of covariance-to the formulation of the laws of physics has proved one of the greatest intellectual challenges of all times. As we shall see, it was in order to correct the failure of classical physics to meet this challenge that Einstein put forward his theories of relativity.