The Elements of Electricity And Magnetism a Text book for Colleges And Technica
The Elements of Electricity And Magnetism a Text book for Colleges And Technica
William S William Suddards Franklin
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This work must be equal to the original kinetic energy of the slice, so that Consider the instant / seconds after the closing of the gate in Fig. 191. The wave of arrest W has reached the distance Vt from the gate, and the excess of water that is represented by the raising of the water level (= Vfy^h X ^ cubic centimeters) is the amount of water supplied by the flow of the canal in / seconds (=^bxvt cubic centimeters). Therefore Vthb bxvt or Substituting the value v from equation (i) in equatio...n (ii), we have (H) Therefore the velocity of progression of a wave in a canal is equal to the velocity gained by a body in falling freely through the distance xjz. ELECTRIC OSCILLATIONS AND ELECTRIC WAVES. 261 in Fig. 192. This body of elevated water is an impure wave in- asmuch as its velocity of flow v is zero, and therefore its potential energy of elevation cannot be equal to its kinetic energy of flow. Such an elevated portion of still water breaks up into two oppo- sitely moving pure waves, and the initial stage of this process of breaking up is indicated in Fig.
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