Understanding Two Coils - V1/V2 & I1/I2 Ratios

[nhrock3]

http://i47.tinypic.com/k0n0gi.jpg
i know that V1/V2=1/a
I1/I2=-a

how they interpret the left resistor
to be like this ?

 

[vk6kro]

The impedance ratio of a transformer is equal to the square of the turns ratio.

So, in this case, the turns ratio is equal to 100 so the impedance ratio is 100 * 100 or 10000.

Ra was there before, so it is unchanged, but Rb is seen from the other side of the transformer as being increased by a factor of 10000.

 

[Mene]

I can explain the concept of V1/V2 and I1/I2 ratios in relation to the left resistor shown in the image. The V1/V2 ratio represents the voltage drop across the left resistor compared to the voltage drop across the right resistor. This ratio is equal to 1/a, where a is the ratio of the resistances of the two resistors. This means that if the resistance of the left resistor is, for example, twice that of the right resistor, the voltage drop across the left resistor will be half of the voltage drop across the right resistor.

The I1/I2 ratio, on the other hand, represents the current flowing through the left resistor compared to the current flowing through the right resistor. This ratio is equal to -a, meaning that the current through the left resistor is in the opposite direction of the current through the right resistor. This is due to the fact that current flows from high potential to low potential, and the left resistor has a higher resistance compared to the right resistor, causing a decrease in potential and a reversal of current direction.

In summary, the V1/V2 and I1/I2 ratios help us understand the relationship between the two resistors and how the voltage and current are distributed across them. The left resistor has a lower voltage drop and a higher current compared to the right resistor due to its higher resistance. This information is important in analyzing and designing circuits and can be further expanded upon by considering other variables such as power and impedance.