First slide

Magnetic field due to a straight current carrying wire

Question

Two long parallel current carrying conductors are carrying currents 2A and 4A in $ϕ$ opposite directions. If the separation between the conductors is 1m, find the magnetic induction at a point midway between the wires.

Moderate

A

7 $μ T$
B

24 $μ T$
C

2.4 $μ T$
D

3.2 $μ T$

Solution

$B = \frac{μ_{0} i_{1}}{2 π (\frac{d}{2})} + \frac{μ_{0} i_{2}}{2 π (\frac{d}{2})} = \frac{μ_{0}}{π d} (i_{1} + i_{2}) = \frac{4 π \times 10^{- 7}}{π \times 1} (2 + 4) T$
$\Rightarrow B = 2.4 μ T$

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