First slide

Magnetic field due to current element

Question

A wire is wound on a long rod of material of relative permeability $μ_{r} = 4000$ to make a solenoid. If the current through the wire is 5 A and number of turns per unit length is 1000 per metre, then the magnetic field inside the solenoid is__

Easy

Solution

$B = μ n I = μ_{r} μ_{0} n I = 4000 \times 4 π \times 10^{- 7} \times 1000 \times 5 = 8 π T = 0025.12 T .$

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