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Two magnetic poles, one of which is thre...

Two magnetic poles, one of which is three times as strong as the other, exert on each other, a force equal to `3 xx 10^(-3)`N when separated by a distance of 10 cm. Find the strength of each pole.

Text Solution

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Pole strengths , `m_1 = m and m_2 =3`
Distance between poles , d=10 cm = 0.1 m
Force on each poles , `F=3 xx 10^(-3)N`
Force between the poles `, F=(mu_0)/(4pi)(m_1m_2)/(d^(2))`
`implies 3 xx 10^(-3) = (4pi xx 10^(-7))/(4 pi ) xx (m.3m)/((0.1)^(2))`
`implies 3m^(2) = 300 (or) m =10`
`:.` The pole strengths are 10 A-m and 30A-m.
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