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QJEEM23Ph985f: JEE Main 2023 Physics - Class 12 JEEM23Ph985f Solution: In the circuit diagram shown in figure given below, the current …

In the circuit diagram shown in figure given below, the current flowing through resistance 3 Ω3 ~\Omega is x3A\frac{x}{3} A .

The value of xx is ___________

JEE Main 2023 (Online) 11th April Morning Shift Physics - Current Electricity Question 70 English

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JEE Main 2023 (Online) 11th April Morning Shift Physics - Current Electricity Question 70 English Explanation 1
E2−E1=8−4=4 V\mathrm{E}_2-\mathrm{E}_1=8-4=4 \mathrm{~V}

amp;13+16=12=1Ramp;R=2Ω\begin{aligned}& \frac{1}{3}+\frac{1}{6}=\frac{1}{2}=\frac{1}{R} \\\\& R=2 \Omega\end{aligned}

JEE Main 2023 (Online) 11th April Morning Shift Physics - Current Electricity Question 70 English Explanation 2
JEE Main 2023 (Online) 11th April Morning Shift Physics - Current Electricity Question 70 English Explanation 3

I=48=0.5 AI=\frac{4}{8}=0.5 \mathrm{~A}

JEE Main 2023 (Online) 11th April Morning Shift Physics - Current Electricity Question 70 English Explanation 4

amp;I1=(63+6)×0.5amp;I1=23×0.5=13 A\begin{aligned}& \mathrm{I}_1=\left(\frac{6}{3+6}\right) \times 0.5 \\\\& \mathrm{I}_1=\frac{2}{3} \times 0.5=\frac{1}{3} \mathrm{~A}\end{aligned}

I1=x3=13∴x=1I_1=\frac{x}{3}=\frac{1}{3} \therefore x=1

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