Question

please help solve the part that says "show all your calculations" im confused on how to do this. I have attached the table i used below. my m1, b1, and correlation are correct.

this measurement and analysis on perior two solenoids. The length of both solenoids is 11 cm. Using your favorite math tool or package (graphing calculator, excel, etc) to analyze the data for Coil 1 included below in table 1. Do a linear fit (y = mx + b) on the data. Record your best fit result here: ml 3.7599 b1 = 0.0538 : Correlation 0.9977 Now, if we assume the relationship for the magnetic field at the center of a solenoid as given in many texts, Β = η μο Ι, where n is the number of turns per unit length, Ho is the magnetic permeability of free space (47 x 10-7 SI), and I is the current (amps), determine n and the total number of turns in the solenoid, N. Remember that in the equation above B is in units of Tesla (T). Show all your calculations here. nl N1 =

Answer 1

Use slope to calculate"n" and then multiply by Length(in metre) to calculate "N1" number of turns.

2 = m = Mon Since, slobe of 'B' uls I is mis 3.7599 and Relation: B = loni 0 Y= on comparing ① and ② slope gives: n = 3.7599 = 3.7599 X107 – 0.2992x10 Ane Therefore, there are 0.2992x107 turns per whit length. Length =llcm = 11X10-? Number of turns NEMXL= 0.2992x107 x 11 x lo? N = 3.29 128 105 turus Mo YTT X10 ЧТІ As i J Hence, nl = 0.29928107 thres per un't length NI= 3.2912 8105 thrins and Ang