Question

The turn ratio of a transformer is given as $2:3$. If the current through the primary coil is $3A$, then calculate the current through load resistance.

• A. $1A$
• B. $4.5A$
• C. $2A$
• D. $1.5A$

Answer 1

The correct option is C

$2A$

Consider,
$V_1$: Voltage across the primary coil
$V_2$: voltage across the secondary coil
$N_1$ : Number of turns in primary coil
$N_2$: Number of turns in secondary coil

So, the relation between these terms:-

$\frac{V_1}{N_1}=\frac{V_2}{N_2}$

The turn ratio of the transformer is :-

$\frac{N_1}{N_2}=\frac{V_1}{V_2}$

We have known that,

$V_1{I}_1=V_2{I}_2\Rightarrow \frac{V_1}{V_2}=\frac{I_2}{I_1}$

$So,\frac{I_2}{I_1}=\frac{N_1}{N_2}$

$\Rightarrow \frac{I_2}{3}=\frac{2}{3}$

$\Rightarrow I_2=2A$