Electrical Machines: Voltage Calculation Quiz

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Questions and Answers

What is the relationship between the primary and secondary in an ideal transformer?

Perfect coupling

When a load is connected across the secondary of an ideal transformer, why does the secondary voltage not change?

The voltage ratio under load is the same as at no-load

What is the formula for calculating the secondary current in an ideal transformer under load?

$I2 = E2 / Z$

What must the primary develop to counterbalance N2I2 in an ideal transformer under load?

<p>A magnetomotive force</p> Signup and view all the answers

What is the primary to secondary turns ratio of the ideal transformer in the circuit described in the text?

<p>1:100</p> Signup and view all the answers

Why is it suggested to shift all impedances to the primary side of the transformer when solving circuit problems involving transformers?

<p>To simplify calculations</p> Signup and view all the answers

What are impedance matching transformers primarily used for in AC work?

<p>To transfer maximum power to the load</p> Signup and view all the answers

In the context of impedance matching, what is a key characteristic of impedance matching transformers compared to power transformers?

<p>They are non-ideal and have wider frequency ranges</p> Signup and view all the answers

What must happen for the required instant-to-instant bucking effect in an ideal transformer under load?

<p>Currents in the primary and secondary must increase and decrease at the same time.</p> Signup and view all the answers

In an ideal transformer under load, what is the relationship between the instantaneous current in the primary and secondary?

<p>The instantaneous current in the primary is always 25 times greater than the instantaneous current in the secondary.</p> Signup and view all the answers

What phase relationship exists between the flux and Eg (induced voltage) in an ideal transformer under load?

<p>The flux lags 90 degrees behind Eg.</p> Signup and view all the answers

Why is it essential for an ideal transformer under load to have currents I1 and I2 in phase?

<p>To achieve maximum power transfer between primary and secondary.</p> Signup and view all the answers

Study Notes

Ideal Transformer Characteristics

  • In an ideal transformer, the primary and secondary are related by the turns ratio, which determines the voltage and current transformations.

Ideal Transformer Under Load

  • When a load is connected across the secondary, the secondary voltage does not change because the ideal transformer maintains a constant turns ratio.
  • The formula for calculating the secondary current (I2) in an ideal transformer under load is I2 = I1 * (N1 / N2), where I1 is the primary current, N1 is the primary turns, and N2 is the secondary turns.
  • The primary must develop a magnetomotive force (MMF) to counterbalance the secondary MMF (N2I2) in an ideal transformer under load.

Ideal Transformer Circuits

  • The primary to secondary turns ratio of the ideal transformer in a circuit is N1 : N2, where N1 is the primary turns and N2 is the secondary turns.

Solving Circuit Problems

  • It is suggested to shift all impedances to the primary side of the transformer when solving circuit problems involving transformers to simplify the analysis.

Impedance Matching Transformers

  • Impedance matching transformers are primarily used to match the impedance of a source to a load in AC work to maximize power transfer.
  • A key characteristic of impedance matching transformers compared to power transformers is that they have a 1 : 1 turns ratio, which allows for maximum power transfer.

Instantaneous Current and Flux

  • For the required instant-to-instant bucking effect in an ideal transformer under load, the instantaneous current in the primary must be equal and opposite to the instantaneous current in the secondary.
  • The instantaneous current in the primary and secondary are related by the turns ratio (N1 : N2).
  • The flux and Eg (induced voltage) in an ideal transformer under load are in phase.
  • It is essential for an ideal transformer under load to have currents I1 and I2 in phase to maintain the ideal transformer operation.

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