B = 17.5mT.
A solenoid is a coil formed by a wire (usually copper) wound into a cylindrical spiral shape capable of creating a magnetic field that is extremely uniform and intense inside, and very weak outside.
To calculate the magnetic field generated inside the solenoid through which a current flows is given by the equation:
B = μ₀nI
Where μ₀ is the constant of magnetic proportionality of the vacuum (4π x 10⁻⁷T.m/A), n is the relation between the number of turns of wire and its length given by N/L and I is the current flowing through the solenoid.
Given a long solenoid of length 0.67m, 1700.00 turns of wire and a current flowing through the wire of 5.50A. Calculate the magnetic field inside the solenoid.
B = (4π x 10⁻⁷T.m/A)(1700turns/0.67m)(5.50A)
B = 0.0175T
B = 17.5mT