Alternating Current Question 3

Question 3 - 2024 (01 Feb Shift 2)

A transformer has an efficiency of $80 %$ and works at $10 \mathrm{~V}$ and $4 \mathrm{~kW}$. If the secondary voltage is $240 \mathrm{~V}$, then the current in the secondary coil is :

(1) $1.59 \mathrm{~A}$

(2) $13.33 \mathrm{~A}$

(3) $1.33 \mathrm{~A}$

(4) $15.1 \mathrm{~A}$

Show Answer

Answer: (2)

Solution:

Efficiency $=\frac{\mathrm{E}{\mathrm{s}} \mathrm{I}{\mathrm{s}}}{\mathrm{E}{\mathrm{p}} \mathrm{I}{\mathrm{p}}}$

$0.8=\frac{240 \mathrm{I}_{\mathrm{s}}}{4000}$

$\mathrm{I}_{\mathrm{S}}=\frac{3200}{240}=13.33 \mathrm{~A}$