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

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

Two long current carrying conductors are placed parallel to each...

Two long current carrying conductors are placed parallel to each other at a distance of 8cm8cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300μT300\mu T. The equal current flowing in the two conductors is :Two long current carrying conductors are placed parallel to each other at a distance of 8cm between them. The magnitude

Options

  1. A30A30A in the same direction.
  2. B60A60A in the opposite direction.
  3. C30A30A in the opposite direction.
  4. D300A300A in the opposite direction.

Correct answer

C. 30A30A in the opposite direction.

Step-by-step solution

Two long current carrying conductors are placed parallel to each other at a distance of 8cm between them. The magnitude

Magnetic field in parallel wires is given by B=μ0I2\pidB = \dfrac{{\mu}_{0}I}{2\pid}

At midway, distance=d2\text{distance} = \dfrac{d}{2}

∵μ0I2\pid2×2=B∵ \dfrac{{\mu}_{0}I}{\dfrac{2\pid}{2}} \times 2 = B

⇒μ0π×2Id=B⇒ \dfrac{{\mu}_{0}}{\pi} \times \dfrac{2I}{d} = B

⇒4×10−7×2I0.08=300×10−6⇒ \dfrac{4 \times {10}^{- 7} \times 2I}{0 . 08} = 300 \times {10}^{- 6}

⇒I=3×10−4×0.082×4×10−7=30A⇒ I = \dfrac{3 \times {10}^{- 4} \times 0 . 08}{2 \times 4 \times {10}^{- 7}} = 30A

As Bnet≠0{B}_{net} \ne 0, so the wires are carrying current in opposite direction.

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