The discussion addresses the relationship between resistance and power dissipation in electrical circuits, specifically through the equations p = i² * R and p = v² / R. It establishes that reducing resistance (R) while keeping voltage (V) constant results in an increase in current (I) according to Ohm's Law. Consequently, the power dissipation increases, demonstrating that a decrease in resistance does not lead to a decrease in thermal energy but rather a significant increase in power dissipation, quantified by a factor of 2 in this scenario.
PREREQUISITESElectrical engineers, physics students, and anyone involved in circuit design or analysis will benefit from this discussion, particularly those focusing on power dissipation and thermal management in resistive components.
omari_yousef said:Equation (p=i^2 * R) seems to suggest that the rate of increase of thermal energy in a resistor is reduced if the resistance is made less.
"Eq" : p =v^2/R seems to suggest just the apposite .
How do you reconcile this apparent paradox?