What is the ideal transformer equation?

The ideal transformer equation relates the voltages and currents in an ideal transformer. It is based on the principles of energy conservation and electromagnetic induction. The equation is given by:

V₁ / V₂ = N₁ / N₂ = I₂ / I₁

Where:

V₁ and V₂ are the voltages across the primary and secondary windings of the transformer, respectively.
N₁ and N₂ are the numbers of turns in the primary and secondary windings, respectively.
I₁ and I₂ are the currents flowing through the primary and secondary windings, respectively.
This equation states that the voltage ratio across the windings is equal to the turns ratio, which is equal to the current ratio. In an ideal transformer, there are no losses, so the power in the primary coil is equal to the power in the secondary coil.

It's important to note that in practical transformers, there are losses due to factors such as resistance, leakage inductance, and core losses. However, the ideal transformer equation serves as a fundamental guideline for understanding the basic principles of transformers.