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JEE Main 202229 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
29 July
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2022 · 29 July · Evening Shift · Physics · Magnetic Effects of Current

A wire X of length 50cm carrying a current of 2A is placed parallel...

A wire XX of length 50cm50cm carrying a current of 2A2A is placed parallel to a long wire YY of length 5m5m. The wire YY carries a current of 3A3A. The distance between two wires is 5cm5cm and currents flow in the same direction. The force acting on the wire YY is :

A wire X of length 50cm carrying a current of 2A is placed parallel to a long wire Y of length 5m . The wire Y carries

Options

  1. A1.2×10−5N1 . 2 \times {10}^{- 5}N directed towards wire XX.
  2. B1.2×10−4N1 . 2 \times {10}^{- 4}N directed away from wire XX.
  3. C1.2×10−4N1 . 2 \times {10}^{- 4}N directed towards wire XX.
  4. D2.4×10−5N2 . 4 \times {10}^{- 5}N directed towards wire XX.

Correct answer

A. 1.2×10−5N1 . 2 \times {10}^{- 5}N directed towards wire XX.

Step-by-step solution

An attractive force will act normal to XX towards YY because the direction of the currents in the wires is the same.

Force exerted on length ll due to the magnetic field is given as F=FXY=FYX=I1l1B12F = {F}_{XY} = {F}_{YX} = {I}_{1}{l}_{1}{B}_{12}

⇒F=μ0I1I22\pirl1⇒ F = \dfrac{{\mu}_{0}{I}_{1}{I}_{2}}{2\pir}{l}_{1}

Given here, I1=2A,I2=3A,l1=5m,r=5cm{I}_{1} = 2A, {I}_{2} = 3A, {l}_{1} = 5m, r = 5cm.

Putting the values, we have

F=4π×10−7×2×32π×5×10−2×50×10−2F = \dfrac{4\pi \times {10}^{- 7} \times 2 \times 3}{2\pi \times 5 \times {10}^{- 2}} \times 50 \times {10}^{- 2}

=1.2×10−5N= 1 . 2 \times {10}^{- 5}N directed towards wire XX.

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