An ideal solenoid of radius a has n turns per unit length and current I. The magnetic flux Φ_B through any circular area of radius a inside the solenoid, centered on and perpendicular to the solenoid axis is A) . B) . C) μ₀πa²nI. D) 2μ₀πa²nI. E) 0.

Question

Quizplus · Accepted Answer

The magnetic field inside the ideal solenoid is constant and given by μnI, where μ is the permeability of the medium inside the solenoid. Thus, the magnetic flux through any circular area of radius a inside the solenoid is given by Φ = Bπa^2, where B=μnI. Substituting this value of B in Φ, we get Φ = Bπa^2 = (μnI)πa^2. This gives us the option C as the correct choice.

An Ideal Solenoid of Radius a Has N Turns Per