Question

In an ideal step-up transformer input voltage is $110$V and current flowing in the secondary is $10$A, if transformation ratio is $10$, calculate output voltage, current in primary input power and output power.

Answer 1

In step-up transformer, transformation ratio $(K>1)=\frac{N_2}{N_1}=\frac{V_2}{V_1}=\frac{I_1}{I_2}=10\left(Given\right)$ $eq....1$

And, $V_1{I}_1=V_2{I}_2$ $eq.....2$

Given $V_1=110V,I_2=10A$

Now, using eq.1, $\frac{V_2}{110}=\frac{I_1}{10}=10\left(Given\right)$

$\Rightarrow V_2=1100V,I_1=100A$

And, Input power = Output power = $V_1{I}_1=110\times 100=11kW$

Therefore, output voltage, current in primary ,input power and output power is $110V,100A,11kW,11kW$ respectively.