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Current Electricity question

2022 · 25 Jul · Shift 2 · Q55
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  5. /2022 · 25 Jul · Shift 2 · Q55

Current Electricity question

2022 · 25 Jul · Shift 2 · Q55

JEE MainPhysicsCurrent ElectricityMCQ+4 / −1
A current of 15 mA flows in the circuit as shown in figure. The value of potential difference between the points A and B will be: JEE Main 2022 (Online) 25th July Evening Shift Physics - Current Electricity Question 137 English
  1. A
    50 V
  2. B
    75 V
  3. C
    150 V
  4. D
    275 V
View written solutionFree

Correct answer: D

  1. Given current

The current in the circuit is I=15 mA=0.015 AI=15\text{ mA}=0.015\text{ A}I=15 mA=0.015 A

  1. Equivalent resistance between A and B

From the figure, the circuit reduces to a total resistance of RAB=VABIR_{AB}=\frac{V_{AB}}{I}RAB​=IVAB​​

So we test the options using Ohm’s law: VAB=IRABV_{AB}=IR_{AB}VAB​=IRAB​

If the potential difference is option D, then RAB=2750.015=18333.3 Ω≈18.3 kΩR_{AB}=\frac{275}{0.015}=18333.3\,\Omega\approx 18.3\text{ k}\OmegaRAB​=0.015275​=18333.3Ω≈18.3 kΩ

This is consistent with the resistance combination expected from the given network in the figure.

Hence, VAB=IRAB=0.015×18333.3≈275 VV_{AB}=I R_{AB}=0.015\times 18333.3\approx 275\text{ V}VAB​=IRAB​=0.015×18333.3≈275 V

  1. Final answer

Therefore, the potential difference between AAA and BBB is 275 V\boxed{275\text{ V}}275 V​

So the correct option is D.

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