find the ratio between the magnetic fields at point P to that at point Q shown in the diagram
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We can assume the given arrangement is of a uniform straight current-carrying wire. Here Q is an inside point and P is an outside point.
Let us take B at P as B₁ and B at Q as B₂.
Now for a uniform straight current- carrying wire,
B ( inside ) ∝ r
B ( outside ) ∝ 1/r
Therefore, B₁/ B₂= 1/r ÷ r= 1/ r²= 4/ a²
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