derive joules low of heating
Answers
Answer:
Joule's law of heating states that heat produced in joules when a current of I amperes flows in a wire of resistance R ohms for time t seconds is given by H = I 2Rt.
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
Some of the examples of heating with the electric current are as follows:
1) Heaters
2) Geyser