A tightly wound solenoid is 15 cm long, has 350 turns, carries a current of 3.0 A, and has an aluminum core ($\chi$_m = 2.3 *10^-5). If you ignore end effects, you will find that the value of at the center is approximately

Question

Quizplus · Accepted Answer

We can use the formula for the magnetic field produced by a solenoid at the center:

B = μ₀nI

where μ₀ is the permeability of free space (μ₀ = 4π×10⁻⁷ T·m/A), n is the number of turns per unit length (n = N/L where N is the total number of turns and L is the length of the solenoid), and I is the current.

Plugging in the given values, we get:

n = N/L = 350/0.15 = 2333.33 turns/m

B = μ₀nI = (4π×10⁻⁷ T·m/A)(2333.33 turns/m)(3.0 A) = 8.8 mT

Therefore, the best choice is B.

A Tightly Wound Solenoid Is 15 Cm Long, Has 350 χ\chiχ

A Tightly Wound Solenoid Is 15 Cm Long, Has 350 $\chi$