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 $\times$ 10^-5).If you ignore end effects,you will find that the value of at the center is approximately

Question

Quizplus · Accepted Answer

The equation for the magnetic field at the center of a solenoid is given by 11eaa331_f57c_99c0_9fad_01231b05080b_TB6079_12, where n is the number of turns per unit length, I is the current, and μ0 is the permeability of free space. Plugging in the given values, we get:

B = μ0nI
n = N/L = 350/0.15 = 2333.33 turns/m
μ0 = 4π x 10^-7 T.m/A
I = 3.0 A

B = (4π x 10^-7 T.m/A) x 2333.33 turns/m x 3.0 A
B = 8.8 mT

Therefore, the best choice is B, with the magnetic field at the center of the solenoid being approximately 8.8 mT.

A Tightly Wound Solenoid Is 15 Cm Long,has 350 Turns,carries χ\chiχ

A Tightly Wound Solenoid Is 15 Cm Long,has 350 Turns,carries $\chi$