if the nested solenoids were used as a step up transformer which coil would you connect...

if the nested solenoids were used as a step up transformer which coil would you connect the time varying current to? what is your predicted value of the ratio of the voltages?

if the nested solenoids were used as a step down transformer which coil would you connect the time varying current to? what is your predicted value of the ratio of the voltages?

Expert Solution

The basic transformer equation is

Vp/ Vs = Np/ Ns.......(1)

and this is easy to remember as the voltage is proportional to the number of turns. Equation (1) is a result of Faraday's law of induction and this is the reason transformers work only with AC. A transformers is called a "voltage step-up transformers" if the secondary voltage Vs is greater than the primary voltage Vp.

For Vs > Vp the ratio of the turns is from equation (1) tells us that Ns > Np. Similarly, a transformers is called a "voltage step-down transformers" if the secondary voltage Vs is less than the primary voltage Vp.

For Vs < Vp the ratio of the turns is from equation (1) tells us that Ns < Np. Transformer conserve energy and power (they do not make energy) if they are ideal. Since Power P=I*V it follows that if a transformer is voltage step-up, then it must also be current step down. (Or if the transformer is voltage step-down, it is current step-up.)

The equation for current corresponding to equation (1) is (2) Ip/ Is = Ns/Np=Vs/Vp

So the current is inversely proportional to the number of turns.

genius_generous answered 3 months ago

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