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Mass Acceleration and Mechanical resonance Part 3 The acceleration a=(F/m)*v^n may also apply to electrons with masses m in electrical resonant circuits. The F may be electric or magnetic force. The acceleration a or force F is applied at resonance or in phase with the velocity v of the electrons to the electrons in electrical wire of an inductor. The velocity v direction is determined by the electric frequency f of the current I in the wire. The larger force F adds to the acceleration a of the electron. The inductor has an impedance X. An electric current I =0.1 ampere-peak at frequency f is produced by signal voltage V to a resistive load R. The current is I=V/R. The inductor impedance X can be connected in series with R. The impedance X only need to reduce the signal current I to about i=0.9*I. The signal voltage accross R as V is reduced to about u=0.9*V by X. A capacitance C can be connected in parallel to these with one connection connected to the inductor and the other side to R. When C is tuned to X and f, the magnetic force and electric forces as F produce acceleration a on each cycle of frequency f. When C is tuned to electrical resonance with X and frequency f, the current i can increase to about i=0.15 ampere-peak. The electrical efficiency of the parallel X, C and R circuit can be: (u*i)/(V*I)=Q=k*(X/R), where k>1 (ohms*ampere)/volt. The k can be as large as 17 (ohms*ampere)/volt. The Q>1 for one X and C pair, but the circuit by itself is not self sustaining. When V is stopped, the u*i dissappears. The V controls u*i. Can connect many X, C circuits in series and then rectify u*i with diodes and send the electric signal back to the signal source. The m*v is increased by a large (F/m) during each cycle of frequency f. The imedance x only need to reduce to orginal current I and signal voltage each by about 11 percent and still produce an increase of electrical output as u*i > V*I at electrical resonance. Examples: V=9 volts-peak, f=5*10^5 hertz sine wave, X=9 volts/ampere reactive. |
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