Resistors find wide application in electrical and electronic circuits. Resistors are used in a wide range of applications such as to induce voltage drop, in filters, for energy dissipation and to limit current.
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When current flows through a resistor, heat is generated in accordance with Joule's Law. H=I2 x R. The resistor should be designed to withstand the heat generated. The heat generated in a resistor is proportional the current which flows through it. The current, in turn, is proportional to the voltage across the resistor.
Power = V x I
Now I=V/R
Therefore Power = V2/R
The Power rating for the resistor can thus be calculated using the above formula.
High Power Resistors with ratings of around 50 Watts are designed to be large in size (the large surface area dissipates heat). The resistors are located away from other components to provide for ventilation.