Q172 / 180 · COMEDK 2024 (Memory Based) · Physics
A step down transformer is used to reduce the main supply of 220 V to 10 V . If the primary draws 5 A and secondary 88 A current, calculate the efficiency of the transformer.
- A$40 \%$
- B$60 \%$
- Correct answerC$80 \%$
- D$45 \%$
Solution
$e_p=220 \mathrm{~V}, e_s=10 \mathrm{~V}, I_p=5 \mathrm{~A}$ and $I_s=88 \mathrm{~A}$
Input power, $P_i=e_P \times I_P=220 \times 5=1100 \mathrm{~W}$
Output power, $P_o=e_s \times I_s=10 \times 88=880 \mathrm{~W}$
Efficiency, $\eta=\frac{P_0}{P_1}=\frac{880}{1100}=0.8$ or $80 \%$
Input power, $P_i=e_P \times I_P=220 \times 5=1100 \mathrm{~W}$
Output power, $P_o=e_s \times I_s=10 \times 88=880 \mathrm{~W}$
Efficiency, $\eta=\frac{P_0}{P_1}=\frac{880}{1100}=0.8$ or $80 \%$
Hence, the correct answer is option: 'C'.