what is joule's law of heating derive it.
Answers
The amount of heat produced is proportional to the electrical resistance of the wire when the current in the circuit and the time of current flow is constant. Heat generated due to the flow of current is proportional to the time of current flow, when the resistance and amount of current flow is constan
Answer:
The amount of heat produced is proportional to the electrical resistance of the wire when the current in the circuit and the time of current flow is constant.
derivation :
Expression for joules law of heating is given below
The amount of work done when an electric charges, move against a potential difference which is denoted by V is given by;
W=V x Q …….. (1)
From the above expression,
V=W/Q
We know that,
V=IR …….. (2)
Q=It……… (3)
Therefore,
I=Q/t
Let us substitute (2) and (3) in (1) we get,
W=(IR)(It)
\mathrm{W}=\mathrm{l}^{2} \mathrm{RT}W=l
2
RT
W=H
Where H is the amount of heat produced, it is expressed in Joules J and I is expressed in terms of Ampere.
Therefore, \bold{\mathrm{H}=\mathrm{l}^{2} \mathrm{RT}}H=l
2
RT