The magnitude of magnetic induction at mid-point due to current arrangement as shown in the figure will be [2023]

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Solution

Q.
The magnitude of magnetic induction at mid-point $O$ due to current arrangement as shown in the figure will be [2023]

1 $\frac{μ_{0} I}{2 π a}$

2 $0$

3 $\frac{μ_{0} I}{4 π a}$

4 $\frac{μ_{0} I}{π a}$

Ans.
(4)

$Magnetic field due to current in B C and E T are outward at point ' O'$

$B_{0} = \frac{μ_{0} i}{4 π r} + \frac{μ_{0} i}{4 π r} = \frac{μ_{0} i}{2 π r} = \frac{μ_{0} i}{π a}$

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