Alternating Current Question 4
Question 4 - 2024 (27 Jan Shift 2)
Primary side of a transformer is connected to $230 \mathrm{~V}, 50 \mathrm{~Hz}$ supply. Turns ratio of primary to secondary winding is $10: 1$. Load resistance connected to secondary side is $46 \Omega$. The power consumed in it is :
(1) $12.5 \mathrm{~W}$
(2) $10.0 \mathrm{~W}$
(3) $11.5 \mathrm{~W}$
(4) $12.0 \mathrm{~W}$
Show Answer
Answer: (3)
Solution:
$\frac{V_{1}}{V_{2}}=\frac{N_{1}}{N_{2}}$
$\frac{230}{V_{2}}=\frac{10}{1}$
$V_{2}=23 \mathrm{~V}$
Power consumed $=\frac{\mathrm{V}_{2}^{2}}{\mathrm{R}}$
$=\frac{23 \times 23}{46}=11.5 \mathrm{~W}$
