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JEE Main 202427 JanuaryMorning Shift
Exam
JEE Main
Year
2024
Date
27 January
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2024 · 27 January · Morning Shift · Physics · Magnetic Effects of Current

Two long, straight wires carry equal currents in opposite...

Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is 5.0cm5 . 0cm. The magnitude of the magnetic field at a point PP midway between the wires is _____\muT. (Given: μ0=4π×10−7TmA−1{\mu}_{0} = 4\pi \times {10}^{- 7}Tm{A}^{- 1})

Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the

Correct answer

160

Step-by-step solution

Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the

The direction of the magnetic field at the observation point due to the current carrying conductor is determined by the right-hand cork screw rule.

From the given diagram, it is clear that as the conductors carry current in the mutually opposite direction, the direction of the magnetic fields produced by them at point PP will be the same.

Hence, the required magnetic field at PP due to the conductors can be calculated as follows:

{B=2×(μ0i2\pia)=2×4π×10−7×102π×(52×10−2)T=160×10−6T=160μT\begin{cases}B & = & 2 \times \left(\dfrac{{\mu}_{0}i}{2\pia}\right) \\ & = & 2 \times \dfrac{4\pi \times {10}^{- 7} \times 10}{2\pi \times \left(\dfrac{5}{2} \times {10}^{- 2}\right)}T \\ & = & 160 \times {10}^{- 6}T \\ & = & 160\mu T\end{cases}

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