the fact is that that ratio will hold true only for thw power as designed
Typically a transformer is designed for a specific turn ratio x:y the fact is that is only true if the power is held as designed for that ratio
Read the manual
For an ideal transformer, the voltage ratio is the same as its turns ratio.
The secondary voltage of a transformer with a turns ratio of 5 to 1, and primary voltage of 200 is 40. (5 to 1)
A: there is no formula the gain of the amp is just reduced by the transformer turn ratio minus efficiency or loss. the transformer is for isolation and impedance matching
240 / 12 = 20
Count the turns ratio of the windings. The voltage ratio is equal to the turns ratio. The current ratio is equal to the inverse of the turns ratio. For instance, a power transformer with a 10:1 turn ratio (primary to secondary) running on 120V will produce 12V. If it consumes 1 ampere from the input, it will provide 10 amperes to the output.
because the copper is saved in the auto transformer that is the ratio of weights of copper in auto transformer to normal transformer is (1-(1/a)) where a is transformer ratio
The ratio depends on the ratio of the length of the windings and depends on the specific transformer. There is no single answer to this question.
Transformer turn ratio is the ratio between the turns on the primary side and the number of turns on the secondary side. For instance if you have a turn ration of 100:200 the primary side has 100 turns and the secondary side has 200 turns. This will be a step up transformer. 10 volts AC into the primary side will result in 20 volts on the secondary side. There will be a decrease in current but the voltage will increase. The total power into and out of the transformer will be the same minus some losses for resistance in the windings.
Transformer turns ratio is the ratio of voltages between two windings. For instance, a 24VAC control transformer that runs on 120VAC will have a turns ratio about 5 to 1.
K is the ratio of the number of secondary winding turns of wire around the transformer core verses the number of turns on the primary.