what is the joules law of heating derive a relation for calculating the heat dissipated
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joules law of heating states that when a current I passes through the conductor of resistance r for time t then the heat developed in the conductor is equal to the product of the square of the current the resistance and time
H=i 2 r t
the reason behind the heat produced is the collisions of free electrons with the Lattice ions or atoms while accelerating in presence of external electric field
we know that
volt = work done / total charge or v =w/q
from this we get w=v/q
we know that current i = q/t
so q =it
putting in previous equation
we get w =vit
from ohm's law we get v =ir
putting it in previous equation
w = irit =i2rt as works is stored as soH I2rt joules
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