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A small ball of volume V madeof paramagneticwith susceptibilitychiwas slowlydisplace along theaxisof a current-carryingcoil fromthe pointwherethe magneticinductionequalsB outto theregionwhere themagneticfield is thepractically absent. What amountof work was performedduringthis process ? |
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Answer» Solution :`F_(X) = (vec(p_(m)) . vec(grad)) B_(x) = (chi B V)/(MUM mu_(0)) (dB)/(dx) = (chi V)/(2 mu_(0)) (dB^(2))/(dx)` This force is attractive and an equal force must be applied for balance. The WEOK doneby applied FORCES is, `A = int_(x = 0)^(x = L) -F_(x) dx = (chi V)/(2 mu_(0)) (-B^(2))_(x = 0)^(x = L) = (chi V B^(2))/(2 mu_(0))` |
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