When two identical batteries of internal resistance $1\Omega$ each are connected in series aiding each other across a resistor $R=4\Omega$ , the rate of heat produced in $R$ is  $H_1$. When the same batteries are connected in parallel (like terminals together) across R the rate of heat produced in R is  $H_2$. Then find  $\frac{H_1}{H_2}$.