I have been reading some tutorials about power consumption on parallelized system. I have been following this tutorial.
At about 3:50 min of this tutorial, the mentor mentions that.
lets say if I have a processor that operates at frequency f.
The output power is
$$ CV^2f $$
where V is the voltage, and C is the capacitance.
If we have the two processors that operate on the frequency f/2, and they are connected in parallel. Then total output power will be P1 + P2. And for each of the processor, voltage will be V (they are in parallel). And the Capacitance will be 2C (C1+C2) for parallel.
So total power will again be
$$ P = P1 + P2 = 2( CV^2 f/2) $$
which will again be equal to
$$ CV^2f. $$
But the mentor mentions that the power consumption will be decreased to 40%.
Can anybody explain? Do multi-core processors reduce the power consumption by such a high value?