Question

Problem 28.26 A 32 cm -long solenoid, 1.8 cm in diameter, is to produce a 0.50 T magnetic field at its center. Part A If the maximum current is 4.1 A, how many turns must the solenoid have? Express your answer using two significant figures. V ΑΣφ ? N = Request Answer Submit Provide Feedback

Answer 1

Given is:-

Length of the solenoid L = 32 cm or   

Magnetic field

Maximum Current  

Now,

The Magnetic field in the current carrying solenoid is given by

$B = \frac{\mu_o N I}{L}$

by plugging all the values we get

$0.50T = \frac{(4 \pi \times 10^{-7}) N (4.1A)}{0.32m}$

which gives us

$\boxed{N = 31054 \text{ Turns}}$