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Alternating Current question

2024 · 27 Jan · Shift 2 · Q64
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  5. /2024 · 27 Jan · Shift 2 · Q64

Alternating Current question

2024 · 27 Jan · Shift 2 · Q64

JEE MainPhysicsAlternating CurrentMCQ+4 / −1
Primary side of a transformer is connected to 230 V,50 Hz230 \mathrm{~V}, 50 \mathrm{~Hz}230 V,50 Hz supply. Turns ratio of primary to secondary winding is 10:110: 110:1. Load resistance connected to secondary side is 46Ω46 \Omega46Ω. The power consumed in it is :
  1. A
    11.5 W
  2. B
    12.5 W
  3. C
    10.0 W
  4. D
    12.0 W
View written solutionFree

Correct answer: A

  1. Given data

    • Primary voltage: Vp=230 VV_p = 230\,\text{V}Vp​=230V
    • Frequency: 50 Hz50\,\text{Hz}50Hz
    • Turns ratio: Np:Ns=10:1N_p:N_s = 10:1Np​:Ns​=10:1
    • Load resistance on secondary: R=46 ΩR = 46\,\OmegaR=46Ω
  2. Use transformer relation For an ideal transformer, VpVs=NpNs\frac{V_p}{V_s} = \frac{N_p}{N_s}Vs​Vp​​=Ns​Np​​ Hence, Vs=Vp⋅NsNp=230⋅110=23 VV_s = V_p\cdot \frac{N_s}{N_p} = 230\cdot \frac{1}{10} = 23\,\text{V}Vs​=Vp​⋅Np​Ns​​=230⋅101​=23V

  3. Power consumed in the load The secondary is connected to a resistor R=46 ΩR = 46\,\OmegaR=46Ω.

    Power in a resistor is P=Vs2RP = \frac{V_s^2}{R}P=RVs2​​ Substituting, P=23246=52946=11.5 WP = \frac{23^2}{46} = \frac{529}{46} = 11.5\,\text{W}P=46232​=46529​=11.5W

  4. Identify correct option P=11.5 WP = 11.5\,\text{W}P=11.5W So the correct option is A.

  5. Comparison with stored answer Stored correct answer: A

    Our derived answer also gives A. So they agree.

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