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 an ideal solenoid is constant and given by:

B = μnI

where μ is the permeability of free space, n is the number of turns per unit length, and I is the current.

The magnetic flux through a circular area of radius a inside the solenoid, centered on and perpendicular to the solenoid axis, is given by:

Φ = Bπa^2

Substituting the expression for B, we get:

Φ = (μnI)πa^2

Simplifying the expression, we get:

Φ = μnIπa^2

Therefore, the correct answer is (C).

An Ideal Solenoid of Radius a Has N Turns Per