PASSIVE ELEMENT-RESISTANCE



PASSIVE ELEMENTS:
RESISTANCE: It is the property of a material by which opposes the current the resistance of the element denoted by the symbol 'R'.Resistance is represented by 'Ω'(ohm).The resistance of a given material physical properties of the material is given material physical properties of the material is given by,                          
R= P*l/a
where      P =Resistivity in Ω/m (or)Ω/cm (or) Ω/mm .
                  l= Length of the conductor in cm (or) m (or) mm .
                  a= Cross sectional area of the conductor in m^2 (or) cm^2 (or) mm^2 .





·         The relation between voltage and current for a resistance is given by "ohm's law" .
                         V=iR , i=V/R , R=V/i ,
·         The power observed by the resistor is given by ,
              P=Vi =V*(V/R) =(V^2/R)=iR*i =i^2*R
                        P=Vi=V^2/R =i^2*R   - watts.                 
The energy of the resistor is given by W=Vit -  Joules (or) V^2/R *t -Joules (or) I^2 *Rt- Joules 


·         When we apply a voltage, V, between the leads of a resistor we can expect a current, I=V/R to flow through it. The way the electrons move through the solid material is a bit like the way a gas diffuses through a sponge or toothpaste squeezes along a tube. The electrons keep being accelerated by the applied electric field. This means they acquire some kinetic energy as they move towards the +ve end of the piece of material. However, before they get very far they collide with an atom and lose some of their kinetic energy. This keeps happening. As a result they tend to ‘drift’ towards the +ve end, bouncing around from atom to atom on the way. This process is illustrated in figure(b)  
Here ,the Resistor value is depends on the following properties:
1)It is directly proportional to the length of the wire(or)conductor.
2)It is inversely proportional to cross sectional area of the conductor.
3)Nature of the material.
4)Depends up on temperature.


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