A long wire $AB$ is placed on a table. Another wire $PQ$ of mass $1.0\ g$ and length $50\ cm$ is set to slide on two rails $PS$ and $QR$. A current of $50A$ is passed through the wires. At what distance above $AB$, will the wire $PQ$ be in equilibrium

Question

Dr. Abubacker · Accepted Answer

(a) Suppose in equilibrium, wire $PQ$ lies at a distance $r$ above the wire $AB$
Hence in equilibrium $mg = Bil \Rightarrow mg = \frac{\mu_{0}}{4\pi}\left( \frac{2i}{r} ight) 	imes il$
$\Rightarrow 10^{- 3} 	imes 10 = 10^{- 7} 	imes \frac{2 	imes (50)^{2}}{r} 	imes 0.5 \Rightarrow r = 25\ mm$

Q. A long wire $AB$ is placed on a table. Another wire $PQ$ of mass $1.0\ g$ and length $50\ cm$ is set to slide on two rails $PS$ and $QR$. A current of $50A$ is passed through the wires. At what distance above $AB$, will the wire $PQ$ be in equilibrium

Explanation

Reviewed by Dr. Abubacker

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