Question

Can Someone explain this formula H= I^2Rt

Answer 1

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Statement : a law stating that the heat produced by an electric current i flowing through a resistance R for a time t is proportional to i 2 Rt. ... Joules Law states heat is directly proportional to the square of current, resistance and time. So, It should be H∝I^2×R×t.

$heat \: \alpha \: {current}^{2}$

➡

$h \: \alpha \: {i}^{2} </u></strong><strong><u>.</u></strong><strong><u>.</u></strong><strong><u>.</u></strong><strong><u>.</u></strong><strong><u>1</u></strong><strong><u>$

$heat \: \alpha \: time \: for \: current[/</u></strong><strong><u>t</u></strong><strong><u>e</u></strong><strong><u>x</u></strong><strong><u>]</u></strong></p><p><strong><u>➡</u></strong></p><p><strong><u>[tex]h \: \alpha \: t</u></strong><strong><u>.</u></strong><strong><u>.</u></strong><strong><u>.</u></strong><strong><u>.</u></strong><strong><u>2</u></strong><strong><u>$

$heat \: \alpha \: resistance \: of \: wire$

➡

$h \: \alpha \: r</u></strong><strong><u>.</u></strong><strong><u>.</u></strong><strong><u>.</u></strong><strong><u>.</u></strong><strong><u>3</u></strong><strong><u>$

Combining all equations (1,2 and 3 above ⬆⬆)

$h = {i}^{2} rt$

⬆⬆⬆⬆

Joule's law of heating