Question

Establish the relation that heat produced in a metallic conductor due to the flow of current is V²t/R joules, where V is the potential difference across the ends of the conductor, R its resistance and t is the time in second for which current flows.

Answer 1

From the relation Q = Vit joule

Applying Ohm's law, V = iR

or i = V/R

Substituting the value of i, we get 

Q = `"V" . "V"/"R" "t" = ("V"^2"t")/"R"` joule.