# How to combine multiple transformers in series?

We know that Transformers allows us to step down or step up (Alternating Current) AC voltage!

Input voltage ${V_I}$ and output voltage ${V_O}$ is related to
primary winding ${N_P}$ and secondary winding ${N_S}$ using this following the ratio $\frac{V_I}{V_O}=\frac{N_P}{N_S}$

Also we know that if the transformer step downs the input voltage ${V_I}$ then this means that it increases the output current ${I_O}$ which equals k times input current ${I_I}$!

$K=\frac{V_I}{V_O}=\frac{I_O}{I_I}$

Let say that we have ${T_1}$ and ${T_2}$ two same big, heavy and high power transformers,
Which step downs input voltage $250 V AC$ to $50 V AC$ and if the maximum input current is $20A$ then the maximum output current will be $100A$
So $K=5$

Is it possible to connect both ${T_1}$ and ${T_2}$ transformers in series in order to get much higher current and much less output voltage?

We know that transformers are only working with $AC$ not $DC$!
If the first transformers $T_1$ step downs input voltage $250 V AC$ to $50 V AC$ then tell me is it possible to connect this input voltage $50V AC$ to another $T_2$ transformers?
What will be the result?
Will we get a $10V AC$ on a secondary winding on a $T_2$ transformer?
So input voltage will be $50V AC$ for $T_2$ transformer and it should step down this voltage 5 times lower! Right?

OK we get a $10V AC$ output voltage but...
How much current will it allow me to use?
$T_1$ transformer had maximum output current $100A$ as 5 time higher then input current. Will $T_2$ transformer increase this $100A$ current 5 times higher again?
So will we get a $500A$ as maximum output current?

But we get this result after serial connection?
What will be if we will connect both $T_1$ and $T_2$ transformers in parallel?
So input voltage will be $250V AC$ for both transformers and $50V AC$ will be as output voltage for both transformers!
Input current will be $20A$ and output current will be $100A$ for both transformers!
but we are using two transformers in parallel, So we will have $2*20A =40A$ input current and $2*100A=200A$ output current! Right?

So both transformers connecting in parallel gives us $50V * 200A = 10'000W$ power.
But in series we got $10V * 500A = 5'000W$ power.
Is this true that transformers followed by each other in parallel gives us twice more power then followed in series?