physics - Joule's law

Joule's law (due to James Prescott Joule) expresses the amount of heat generated by an electrical resistor, and is expressed by the relation

Failed to parse (unknown function \propto): Q \propto I^2 R t

by current $I$ flowing through a resistor with resistance $R$ for a time $t$ , and $Q$ is the heat generated

Q = k I 2 R t

where $k$ is the constant of proportionality, dependent on the units used to express $I$ , $R$ and $t$ . If amperes, ohms, and seconds are used, and the result expressed in joules, it is simply 1.

u n i t s = J / A 2 Ω s