Electric Power and Joule's Law |Lec#07 |Class10/12 |Current Electricity 

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@@KakaKako-b9m Joule's law states that the heat produced (or power dissipated) in a resistor is given by P = I^2 R , where P is the power, I is the current, and R is the resistance. The I^2 term means that the power (or heat) increases with the square of the current. So, if you increase the current, the heat produced grows much faster. For example, if you double the current, the power dissipated will increase by a factor of four, because (2I)^2 = 4I^2. This is why the current is squared in the formula.

@@ephysics3801.

The constant J in the formula is used for the amount of mechanical work required to produce one calorie of heat energy. it has a value of 4.184 J/calorie It appears in the denominator of the formula to ensure that the equation is consistent with the units being used. Sometimes we are interested in knowing the heat dissipated or wasted in the units of calories instead of joules, for which we use Joule's Mechanical Equivalent in the equation. H = (I^2 * R * t)/ J If the result is desired in joules, the constant J would not be necessary in the formula and the new formula will be H = (I^2 * R * t) and then constant will be equal to 1 only. In short it is just the conversion factor from joules to calories and nothing special.

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