Consider a simple solenoid below. When the switch is closed, 12 V DC supply is connected to the coil which produces a magnetic field in the core. Assume that the coil current is 9 Ampere. Magnetic field pulls the moving plunger in. Moving plunger may be mechanically connected to open up gas or fluid flow. The plunger moves horizontally keeping the air-gaps constant. The electromagnetic system parameters are given as W=9 cm, D=7 cm, g=0.6 mm, N=312 turns. Ignore the fringing and flux leakages in the magnetic system. Depth D TT i(1) 18 Spring 12 V - by 1 fgf--K(x-*) Part A) Calculate magneto-motive force of the coil in terms of Ampere-turns. Part c) Calculate the inductance value of the coil in terms of HENRY when the plunger at the position of x=2 cm. Answer: Part D) Calculate the Energy stored in magnetic field in terms of Joule when the plunger at the position of x=2 cm. Answer: Part E) Calculate the force produced by magnetic field in terms of Newton.Meter when the plunger at the position of x=2 cm. Answer: Part B) Which of the followings represents the reluctance of one of the air gap as a function of 3(t) in terms of Ampere-turns/Weber. o a. 68209.26/(0.09-x(t)) o b. 68209.26*(0.09-x(t)) O c. 6820.93/(0.09-x(t)) O d. 6820926.13/(0.09-x(t)) o e. 68.21/0.09-x(t))