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JEE Main 2023 (11 Apr, Shift 1) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2023 (11 Apr, Shift 1)

Q89JEE Main 2023 · 11 APR · SHIFT 1Medium

Kirchhoff's Laws & Measuring Instruments

In the circuit diagram shown in figure given below, the current flowing through resistance 3 Ω3\ \Omega is x3 A\frac{x}{3}\text{ A}. The value of xx is ___________

Figure

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

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Answer: 1

  1. The 4 V and 8 V cells have their + terminals facing each other, so they oppose: net emf =8−4=4 V= 8 - 4 = 4\text{ V}.
  2. 3∥6=2 Ω3 \parallel 6 = 2\ \Omega; total R=4.5+2+0.5+1=8 ΩR = 4.5 + 2 + 0.5 + 1 = 8\ \Omega
  3. I=48=0.5 AI = \frac{4}{8} = 0.5\text{ A}
  4. I3=0.5×63+6=13 AI_3 = 0.5 \times \frac{6}{3 + 6} = \frac{1}{3}\text{ A}
  5. So x=1x = 1.
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