In lab6 you will calculate the strength of magnetic field in the center of the helmholtz coils. the relation between the magnitude of the magnetic field and the coil parameters is given below (and also in your manual): b = 8nμ0 5r 5 i where i is the current flowing through both coils, r is the mean coil radius, n = 130 is the number of turns of wire in each coil, and μ0 = 4π × 10−7 t · m/a is the permeability constant. you are given a pair of helmholtz coils, as pictured below, and given the fact that the coils have finite thickness you performed 4 measurements of the coils' diameter, 2 measurements on the inside of the coils and 2 on the outside and obtained the following results: d1 =28cm, d2 =28cm, d3 =28.4cm, and d4 =27.4cm. what is the mean radius and standard error of the mean of the coil radius? r =± cmin order to obtain the most uniform magnetic field possible between the coils, with what distance should you separate them? d = cm note: this condition most likely will not be satisfied in your actual experimental set-up in the lab. the coil wires are tied into a tight bundle as can be seen in a picture. given that fact and what you learned in the previous labs about parallel and series connection of the conductors do you think it is safe to touch the coil wires during the measurement of r, and d even when they have current running through them? yes, because if the wires were exposed the current through them would be so high it'd burn the fuse in the apparatusyes, because few amperes of current will not hurt me no, because i should always avoid touching the wires regardless of the reason and logicno, because i can not guarantee proper grounding and will be electricutedyou run a current of i =1.9 a through each coil. calculate the magnetic field produced in the center of the space between the coils. b = __mt