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semestrială 2(3) 2010 - Universitatea de Stat „Alecu Russo”

semestrială 2(3) 2010 - Universitatea de Stat „Alecu Russo”

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q= (2).2. Defining the physical mo<strong>de</strong>l from another field (in our case, the field ofelectro-technics) whose functioning can be analyzed easily and which canexpressed with help of the mathematical equation of the same form as theequation which refers to the process un<strong>de</strong>r research (in our case – thermicprocess).In our case, such a physical mo<strong>de</strong>l can be an electric circuit from the sourceof the permanent electric current with tension U, a consumer of electric energywith resistance R and a switch. On turning a switch, an electric current withintensity I will run through the circuit. The equation which <strong>de</strong>scribes thefunctioning of this physical mo<strong>de</strong>l and which express the Ohm law [3,4] has theformI= (3)where: I – electric current intensity, A;U – electric tension, V;R –electric resistance, Ω.Assuming that for small currents, I <strong>de</strong>pends on U, R is constant, therelation is constant, q <strong>de</strong>pends on the difference between the temperatures T 1 –T 2 , it is possible to assert the equations (2) and (3) have the same mathematicalform.3. Defining analogical magnitu<strong>de</strong>s from the consi<strong>de</strong>red equations (in ourcase – equation 2 and 3);Comparing the equations (2) and (3) we state the following analogies:- intensity I is an electric analogue of the conductive unitary thermic fluxq;- tension (difference of potential) U is an electric analogue of temperaturedifference (T 1 -T 2 ).- electric resistance R is an electric analogue of the relation .Electromechanic Analogy1. Determining a mathematical equation which <strong>de</strong>scribes with someapproximation the process un<strong>de</strong>r research (mechanic process). In principle, asimple accelerometer presents a sli<strong>de</strong> bar situated horizontally, insi<strong>de</strong> whichthere is a piston connected with it through the spring. Between the piston and asli<strong>de</strong> bar there is a lubricant. The piston serves an initial element which movesrectillineal to a sli<strong>de</strong> bar.If this mechanic system is fixed on a truck, then the accelerated movementof a truck horizontally by some exterior force F, the functioning of theaccelerometer will be expressed through equation:(4),15

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