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Infinite number of straight wires each carrying current I areequally placed as shown in the figure. Adjacent wires have current in opposite direction. Find net magnetic field at point P? |
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Answer» Solution :`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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