Question

Question 1 5 pts A mugnetic core structure is shown below Ni The relalive permeabily of heomalerial is 2500 andil is nol saluraled. The depth of the core is uniform and 2 cm into the page. The width of the core is 2 cm. For this problem, nelect the leakage flux. The equivalent circuit is shown below follawed hy dimansianal infarmation. R, R,2 Fi R, R, 2 "20cm 124 320 cm Ni 100 tuns Match the reluctances to the parameters shawn in the equivalent circuit Units of N2 15D turns ach reluctance term is kA-turnsWo Cheose RE Question 2 5 pts Using the conddrians of qurstion 1, fnd th oquivalent reluctance in units of kA turnsWo as seen by coil 2 when the current through o1 isero HINT: F1-joaks ike a shart cicult) Question 3 5 pts Using the conditions af question 2, coloulate the flux that flows through the airp in units of mWh when the current through coil 2 is 5A. Include negative sign i roquired. ASSUME POSITIVE FLUX FLOWS FROM TOP TO BOTTOM IN THE CFNTER OF THE CORF HINT: yau will likely noed to utlizc the CuTent dvider ruic Question4 5 pt Using the conditions of question 1 find the equivalent reluctance in units of kA urns/Wb as seen by coil 1 when the current throush ccil 2 is zera. HINT: 2-0llooks like a short circui Question5 pts Usirg the conditions of question 4, calculsle the lux thal nows through Uhe sir gap in urits of mwb when the current through coil 1 is 1凢Include negative sign if required ASSUME POSITIVE FLUX FLOVS FROM TOP TO BOTTOM IN THE CENTER OF THE CORE HINT you will likely need to utilize the current divider rule.

Value options for #1 are:

159.155

312.28

3979

75.41

63.662

Answer 1

I n Petative permeal)u toria Re Pa 2 Anco of the arre (2x164) 2. is alco 2m 5g.155 erd

2 "Cohen moment thro ugh cai,LL is oth. De Ra Da @a ラ 212 2+ Pat Pb+ 0024 15 15 15 15+3-62+3

Pa 159, 15イ69612+397g 2 12.2 Re 50 1 50156 62 399う 0121 mwb