Question

derive an expression for Joule ' s law of heating

pls make it fast​

Answer 1

Answer:

He determined that the heat evolved per second is equivalent to the electric power absorbed, or the power loss. A quantitative form of Joule's law is that the heat evolved per second, or the electric power loss, P, equals the current I squared times the resistance R, or P = I2R.

Answer 2

$\underline\mathrm\blue{Joule's \: law \: of \: heating \: :-}$

$\sf H \: = \: I^{2}Rt.$

Derive the joule's law of heating :

$\sf W \: = V \times Q$ ----------- (i)

Form the above expression,

→ $\sf V \: = \: \dfrac {w}{Q}$

Now,

We know that V = IR ---------- (ii)

Q = It ----------- (iii)

Therefore,

Here, $\sf Current \: = \: \dfrac {Charge}{time}$

Let's substitute eq (ii) & (iii),

We get,

W = (IR)(It)

let's multiply the both brackets,

We get,

$\sf W \: = \: I^{2}Rt$

W = H.

Here, H is the heat produced.

$\therefore$ $\sf H \: = \: I^{2}Rt$