(a) Equivalent resistance in the second case $= R_{1} + R_{2} = R$
Now, we know that $P \propto \frac{1}{R}$
Since in the second case the resistance $\left( R_{1} + R_{2} \right)$ is higher than that in the first case $\left( R_{1} \right)$
Therefore power dissipation in the second case will be decreased