Question

consider the toroid in figure 3.55 that is tightly wrapped with N tums of conductive wire. For an Amperian path with radius less than a, no current is enclosed and therefore the field is zero. Likewise, for radius greater than c. the net current enclosed is zero and again the field is zero. Use Ampere's circuital law to find an expression for the magnetic field at radius &, the center of the toroid.

Consider the toroid in Figure 3.55 that is tightly wrapped with N turns of conductive wire. For an Amperian path with radius less than a, no current is enclosed and therefore the field is zero. Likewise, for radius greater than C, the net current enclosed is zero and again the field is a b с Toroid for Problem 3.23.

Answer 1

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1 С. C A b I Tenc = Cesent inclored by the path. Ampere's Crucital low:- This law states that - Line integral Ħ around the acloreal path is exactly same as consent Pence enclored by the It = magnetic feild internity rame path. طور - E Mo - Permeability of the medium B magnetic feild dennity. Ampere's cirutal low mathematical exprevin Hide = Dend B di Pone Mo Bodi = No tener

Care I for an amperiam path with radius ber then a from Ampere's a ciruital low Bidi= M.Tenc. So Denc=0.- cessent enclored in o' & Bidi Noo & Bidio Brol Magnetic feild in' on H=0 Care ? for am amperion path with rodius greater thene from Ampere's Cioceital low do di Modena Penco current enclared in Zero I Bidl=0 Bro ? magnetic feild in'o Hro

the Care. Il for an amperian path with sodius b. magnetic feild inside" foriod. from ampese circuital love Bodi = Mo Tene Keref file when I cessent flowing through N nog turns then. then tatal current enclored by the path is NXD. Selai 4. I Tene=NI & B di = NI.M Now, B is the B is the magnetie feild of the rodies. Bf de END AND tidi B. 20 b = NIMM B. UNI fal= Perimeter of 215b the ciddle This is the magnetic feild 217b. at the rodin b. B NI 시 20b HS NI 20b

Case. V magnetic feild at the center of the teenind toroid. when we consider amperaan path with sodiu less then a then, then cessent enclosed in zero men Binalso zero Penelored=0 & B.di - M Pene M.O fB?UCO at the center B.