Joules Heating
Category : JEE Main & Advanced
When some potential difference V is applied across a resistance R then the work done by the electric field on charge q to flow through the circuit in time t will be \[W=qV=Vit={{i}^{2}}Rt=\frac{{{V}^{2}}t}{R}Joule\]. This work appears as thermal energy in the resistor.
Heat produced by the resistance R is \[H=\frac{W}{J}=\frac{Vit}{4\cdot 2}=\frac{{{i}^{2}}Rt}{4\cdot 2}=\frac{{{V}^{2}}t}{4\cdot 2R}Cal.\] This relation is called joules heating.
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