Physics · Current Electricity

JEE Main 2024 — 9 April, Shift 1 — Question 59

The current flowing through the 1Ω1 \Omega resistor is n10\frac{\mathrm{n}}{10} A. The value of nn is \qquad .

Question figure

Answer: 25

Numerical answer — enter this value.

Step-by-step solution

y−52+y−02+y−x+101=0\frac{\text{y}-5}{2}+\frac{\text{y}-0}{2}+\frac{\text{y}-\text{x}+10}{1}=0

\begin{array}{*{35}{r}}{} & y-5+y+2y-2x+20=0\\\end{array}

x−54+x−04+x−10−y1=0\frac{x-5}{4}+\frac{x-0}{4}+\frac{x-10-y}{1}=0

x-5+x+4x-40-4y=0$$6x-4y-45=0\text{ }\!\!~\!\!\text{ }..(i)

−2x+4y+15=04x−30=0\frac{-2x+4y+15=0}{4x-30=0}

x=\frac{15}{2}\And 4y-15+15=0$$y=0

\text{i}=\frac{\text{y}-\text{x}+10}{1}$$\text{i}=\frac{0-7.5+10}{1}

i=2.5  ⁣ ⁣  ⁣ ⁣ A=n10  ⁣ ⁣  ⁣ ⁣ A\text{i}=2.5\text{ }\!\!~\!\!\text{ A}=\frac{\text{n}}{10}\text{ }\!\!~\!\!\text{ A}

n=25\text{n}=25

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Current Electricity
Topic
Circuit Analysis, Kirchhoff's Law and Nodal Analysis