The charge flowing through a resistance R varies with time

The charge flowing through a resistance R varies with time t as Q = at – bt², where a and b are positive constants. The total heat produced in R is:

Given: Charge Q = at – bt²

From joule's law of heating, heat produced
dH = i²Rdt

	a³R
	6b

	a³R
	3b

	a³R
	2b

	a³R
	b