Q. A transformer is used to light a 100 W and 110 V lamp from a 220 V mains. If the main current is 0.5 A, the efficiency of the transformer is approximately

A) 30%
B) 50%
C) 90%
D) 10%
Explanation

(c) The efficiency of transformer
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{Energy\ obtained\ from\ the\ secondary\ coil}{Energy\ given\ to\ the\ primary\ coil}$
or $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \eta = \frac{Output\ power\ }{input\ power}\ $
or $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \eta = \frac{V_{s}I_{s}}{V_{p}I_{p}}$
Given, $V_{s}I_{s} = 100\ W,\ V_{p} = V,I_{p} = 0.5\ A$
Hence, $\eta = \frac{100}{220 \times 0.5} = 0.90 = 90\%$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.