The Transformer Equation Flashcards

All 5 cards in this deck

What is the turns ratio equation for a transformer?

$\dfrac{V_p}{V_s} = \dfrac{N_p}{N_s}$

What are the steps to find the potential difference across the secondary coil of a transformer?

e.g. $V_p = 12$ V, $N_p = 10$ turns, $N_s = 20$ turns

1. Write $\dfrac{V_p}{V_s} = \dfrac{N_p}{N_s}$: $\dfrac{12}{V_s} = \dfrac{10}{20}$
2. Rearrange: $V_s = \dfrac{12 \times 20}{10}$
3. $V_s = 24$ V

What are the steps to find the number of turns on the secondary coil of a transformer?

e.g. $V_p = 200$ V, $V_s = 20$ V, $N_p = 500$ turns

1. Write $\dfrac{V_p}{V_s} = \dfrac{N_p}{N_s}$: $\dfrac{200}{20} = \dfrac{500}{N_s}$
2. Rearrange: $N_s = \dfrac{500 \times 20}{200}$
3. $N_s = 50$ turns

In the transformer equation, what do $N_p$ and $N_s$ stand for, and what units do they have?

The number of turns on the primary and secondary coils — they are just counts, with no units.

True or false? In a transformer the ratio of the potential differences equals the ratio of the numbers of turns.

True. $\dfrac{V_p}{V_s} = \dfrac{N_p}{N_s}$