Question

A current of $5A$ is flowing at $220V$ in the primary coil of a transformer. If the voltage produced in the secondary coil is $2200V$ and $50\%$ of power is lost, then the current in the secondary will be

• A. $2.5A$
• B. $5A$
• C. $0.25A$
• D. $0.5A$

Answer 1

The correct option is C

$0.25A$

Step 1: Given Data and Assumptions:

Current in the primary coil $I_p=5A$

Voltage in the primary coil $V_p=220V$

Voltage produced in the secondary coil $V_s=2200V$

Power in the primary coil $=P_p$

Power in the secondary coil $=P_s$

Step 2: Formula Used:

$P=VI$

Where, $P$ is power

$I$ is Current

$V$ is Voltage

Step 3: Calculating the current in the secondary coil:

As $50\%$ of power is lost in the secondary coil,

$P_s=50\%P_p$

$P_s=\frac{50}{100}\times P_p$

$P_s=0.5P_p$

$V_s{I}_s=0.5\times V_p{I}_p$

$I_s=0.5\times \frac{V_p{I}_p}{V_s}$

$=\frac{0.5\times 220\times 5}{2200}$

$=0.25A$

Hence, option $\left(C\right)$ is the correct answer.