EQUATIONS TO FIND HEAT PRODUCED IN A CURRENT CARRYING CONDUCTOR

 Using joules law we can find heat produced in current carrying conductor

According to joules law, in current carrying conductor 
Heat α square of current ( H α I² )
Heat α resistance to the conductor ( H α R)
Heat α time taken for the current flow ( H α T)
  
Combining above three relations we can write

H α I²RT
(To convert proportionality(α) to equal sign , multiply with a constant)

H = a constant x I²RT
Here constant = 1

H = I² RT      ———-(1)

According to OHMS LAW 
Current (I) = voltage (V)/Resistance (R)
I = V/R
Apply to —-(1)
H =(V/R)²RT
H=V²/R² x RT

H=V²T/R

According to OHMS LAW 
Resistance (R) = Voltage(v)/ Current (I)
R = V/I
Apply to ——-(1)
H= I²(V/I)T
H=IVT

H=VIT


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