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Infinte number of straight wires each c...

Infinte number of straight wires each carrying curret I are equally placed as show in the figure. Adjacent wire have currents in opposite direcation. Net magnetic field at point P is :

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`B_("net") = (mu_0I)/(4pi) (sin 30^@ + sin 30^@) hatk[1/d - 1/(2d)+ 1/(3d)-(1)/(4d).......+oo]`
(where d = a cos 30 `=(sqrt(3a))/(2))`
`therefore B_("net")= (mu_0I)/(2sqrt(3pia))hatk[1 - (1)/(2) + (1)/(3)-(1)/(4) + .....oo]`
` = (mu_0I)/(sqrt(3)pia) "ln" 2 hatk = (mu_0I)/(4pi) = ("ln"4)/(sqrt(3)a)hatk`
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