Understanding Transformer Equations for Voltage and Current Ratios

They are equations that shows the relationship between ratio of turns in secondary to primary coil and the ration of their voltages and consequently the current.

The first equation states that:

similarly, for an ideal transformer where no energy loss is experienced, the power in primary coil = power in secondary coil

Electrical power P is given by ; P = Current I x Voltage V

Let Ip =current in primary coil and Is = current in secondary coil

Then we have :

primary current x primary voltage = secondary current x secondary voltage

Ip x Vp = Is x Vs

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