The charge flowing through a resistance $R$ varies with time $t$ as $Q = at – bt^2$ , where $a$ and $b$ are positive constants, The total heat produced in R is :

Question

( A ) $\frac{a^3R}{2b}$
( B ) $\frac{a^3R}{b}$
( C ) $\frac{a^3R}{3b}$
( D ) $\frac{a^3R}{6b}$