A long horizontal wire \( A B \) which is free to move in a vertical plane and carries a steady ...

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A long horizontal wire \( A B \) which is free to move in a vertical plane and carries a steady current of \( 20 \mathrm{~A} \), is in equilibrium at a height of \( 0.01 \mathrm{~m} \) over another parallel long wire \( C D \), which is fixed in a horizontal plane and carries a steady current of \( 30 \mathrm{~A} \), as shown in figure-4.248. Show that when \( A B \) is slightly depressed, it executes simple harmonic motion. Find the period of oscillations.
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