Question
A long solenoid is fabricated by closely winding a wire of radius 0.5mm over a cylindrical nonmagnetic frame so that the successive turns nearly touch each other. What would be the magnetic field B at the centre of the solenoid if it carries a current of 5A?

Answer


r = 0.5mm, i = 5A,$\text{B}=\mu_0\text{ni}$ (for a solenoid)
Width of each turn $= 1 mm = 10^{-3}m$ No. of turns $\text{n}=\frac{1}{10^{-3}}=10^3$ So, $\text{B}=4\pi\times10^{-7}\times10^3\times5=2\pi\times10^{-3}\text{T}$

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