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A rigid wire consists of a semicircular...

A rigid wire consists of a semicircular portion of radius R and two straight sections the wire is partially immersed in a perpendicular magnetic field B as shown in the figure. Find the magnetic force on the wire if it carries a current `i`.

Text Solution

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Force due to the wire AB and force due to wire CD are equal and oppsite to each other . Thus they cancel each other. Net force is the force due to the semicircular loop `= 2 iRB` .
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Knowledge Check

  • Two perpendicular infinite wires are carrying current i as shown in the figure. The magnetic field at point P is :

    A
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    C
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    D
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  • The magnetic field lines due to a straight wire carrying a current are

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    B
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    C
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    D
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