A soleniod 150 cm long with1550 turns has a central magnetic field of 150 mT. Find he current through the coil
B=μ0INL ⟹ I=BLμ0N,B=\mu_0 I\frac NL\implies I=\frac{BL}{\mu_0 N},B=μ0ILN⟹I=μ0NBL,
B=150⋅10−3⋅1.54⋅3.14⋅10−7⋅1550=115.5 A.B=\frac{150\cdot 10^{-3}\cdot 1.5}{4\cdot 3.14\cdot 10^{-7}\cdot 1550}=115.5~A.B=4⋅3.14⋅10−7⋅1550150⋅10−3⋅1.5=115.5 A.
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