Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to curre

Question

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

TestHub · Accepted Answer

Magnetic field in parallel wires is given by $B = \frac{μ_{0} I}{2 π d}$

At midway, $distance = \frac{d}{2}$

$∵ \frac{μ_{0} I}{\frac{2 π d}{2}} \times 2 = B$

$\Rightarrow \frac{μ_{0}}{π} \times \frac{2 I}{d} = B$

$\Rightarrow \frac{4 \times 10^{- 7} \times 2 I}{0.08} = 300 \times 10^{- 6}$

$\Rightarrow I = \frac{3 \times 10^{- 4} \times 0.08}{2 \times 4 \times 10^{- 7}} = 30 A$

As $B_{n e t} \neq 0$ , so the wires are carrying current in opposite direction.

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