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