A solenoid has n turns per unit length and carries current I. What is the field strength inside it?
AB = n I / mu0
BB = mu0 n / I
CB = mu0 n I
DB = mu0 I / n
Answer & Solution
Correct answer: C. B = mu0 n I
1. Inside a solenoid the field strength is B = mu0 n I.
2. Here n is the number of loops per unit length, found as N divided by the length.
3. The radius of the solenoid does not appear, unlike the single-loop result.
4. B is the field anywhere in the uniform interior region, not only at the centre.
5. Dividing by n instead of multiplying would mean a tightly wound coil gave a weaker field, which is wrong.
_Source: OpenStax College Physics (CC BY 4.0), Ch 22 "Magnetism", section 22.9 Magnetic Fields Produced by Currents: Ampere's Law_
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