A transformer has a turns ratio of 2.5:1. The primary voltage is 208 V. The secondary current is 18 A. What is the primary current?

Respuesta :

Answer:

 The primary current  will be 7.2 A.

Explanation:

Given that

Transfer ratio ,TR

[tex]TR=\dfrac{N_1}{N_2}[/tex]

TR= 2.5 :1

[tex]2.5=\dfrac{N_1}{N_2}=\dfrac{V_1}{V_2}=\dfrac{I_2}{I_1}[/tex]

N₁=Number of turns on the primary side of the transformer

N₂=Number of turns on the secondary side of the transformer

I₁=current on the primary side of the transformer

I₂=current on the secondary side of the transformer

We can say that

[tex]2.5=\dfrac{I_2}{I_1}[/tex]

Given that secondary current = I₂

I₂=18 A

Now by putting the values we get

[tex]2.5=\dfrac{18}{I_1}\\I_1=\dfrac{18}{2.5}\\I_1=7.2 A[/tex]

The primary current  will be 7.2 A.