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JEE Main 2023 (1 Feb, Shift 2) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2023 (1 Feb, Shift 2)

Q90JEE Main 2023 · 1 FEB · SHIFT 2Medium

Kirchhoff's Laws & Measuring Instruments

In the given circuit, the value of ∣I1+I3I2∣\left|\frac{I_1+I_3}{I_2}\right| is _____________

Figure

Numerical answer type. Work it out, then open the answer.

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Answer: 2

  1. Take the left wire at 0. The middle node M is the + side of both cells: VM=+10 VV_M = +10\text{ V}, right wire =10−20=−10 V= 10 - 20 = -10\text{ V}.
  2. I1=I2=10−010=1 AI_1 = I_2 = \frac{10 - 0}{10} = 1\text{ A} (M to left)
  3. I3=0−(−10)10=1 AI_3 = \frac{0 - (-10)}{10} = 1\text{ A} (left to right)
  4. ∣I1+I3I2∣=1+11=2\left|\frac{I_1 + I_3}{I_2}\right| = \frac{1 + 1}{1} = 2
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