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JEE Main 202427 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
27 January
Shift
Evening Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2024 · 27 January · Evening Shift · Physics · Alternating Current

The primary side of a transformer is connected to 230V, 50Hz...

The primary side of a transformer is connected to 230V,50Hz230V, 50Hz supply. The turn ratio of primary to secondary winding is 10:110: 1. Load resistance connected to the secondary side is 46Ω46Ω. The power consumed in it is:

Options

  1. A12.5W12 . 5W
  2. B10.0W10 . 0W
  3. C11.5W11 . 5W
  4. D12.0W12 . 0W

Correct answer

C. 11.5W11 . 5W

Step-by-step solution

The voltages associated with the primary and the secondary side of the transformer are related to the turn ratio as follows:

V1V2=N1N2...(1)\dfrac{{V}_{1}}{{V}_{2}} = \dfrac{{N}_{1}}{{N}_{2}} . . . \left(1\right)

From equation (1), it follows that

230V2=101\dfrac{230}{{V}_{2}} = \dfrac{10}{1}

V2=23V{V}_{2} = 23V

Hence, the power consumed can be calculated as follows

{P=V22R=23×2346=11.5W\begin{cases}P & = & {V}_{2}^{2}R \\ & = & \dfrac{23 \times 23}{46} \\ & = & 11 . 5W\end{cases} 

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