Question

Can you please write as clear as possible? Thank you so much

(1 point THE PROBLEM Suppose the cardboard cylinder that comes with toilet paper has length h-12.3 cm and diameter d-4.1 cm. You could build an inductor by winding a wire around that cylinder. To get an inductancs of L-445 uH, how many turns of wire should you wind onto the tube? PAPER SOLUTION INTERPRET DEVELOP Derive an algebraic expression for the required number of turns In your answer type u0 to represent ,10 EVALUATE ASSESS

Answer 1

We know that inductance L is defined as

We know that inductance L is defined as L = mu N^2 A/H So, plugging in the values, 445 * 10^-6 = 4 * 3.14 * N^2 * 3.14 * 0.041^2/4 * 0.123 N = 182 turns. And expression for N will be N = squareroot LH/mu A

So, plugging in the values,

N=182 turns.

And expression for N will be