Import Question JSON

Current Question (ID: 17382)

Question:

$\text{A 220 V input is supplied to a transformer. The output circuit draws a current of 2.0 A at 440 V. What is the current drawn by the primary windings of the transformer if the efficiency of the transformer is 80\%?}$

Options:

1. $3.6 \text{ A}$
2. $2.8 \text{ A}$
3. $2.5 \text{ A}$
4. $5.0 \text{ A}$

Solution:

$I_S = 2 \text{ A}, \ E_S = 440 \text{ V}, \ E_P = 220 \text{ V}$ $\text{Efficiency} = \frac{\text{Output power}}{\text{Input power}} = \frac{E_S I_S}{E_P I_P}$ $\frac{80}{100} = \frac{440 \times 2}{220 \times I_P}$ $\text{Solving we get:}$ $I_P = 5 \text{ A}$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}