Three questions refer to the express for the magnetic field at the center of the

Question

Three questions refer to the express for the magnetic field at the center of the square solenoid. Assume: for all coils, each of the square a = 3.93 nm and the length of the solenoid L = 61.6 cm. In procedure 1, you will plot B_max vs. N, the number of turns of the coil. Suppose you set the current I = 4.4 A, and vary the numbers of turns of the coil (with a and L the same for each coil.) Find the slope of this straight line. solpe = T/turn In procedure 2, you will plot B_max vs. I. Suppose you use a coil with 700 turns, and very the current I. Find: -v, the number of turns per length: n = turns/m the slope of this straight line: slope = T/A

Explanation / Answer

a) magnetic field at the center of a solenoid, B = mue*N*I/L

B/N = mue*I/L

slope = 1.26*10^-6*4.4/0.616

= 9*10^-6 T/m <<<<<<<-----------Answer

b)

no of turns per unit length, n = N/L

= 700/0.616

= 1136 turns/m <<<<<<<-----------Answer

B/A = mue*N/L

= mue*n

= 1.26*10^-6*1136

= 1.43*10^-3 T/A <<<<<<<-----------Answer

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