Question

Transformer 10:1 his i 0 12 V Figure 4: Transformer with dc source. Shown in Figure 4 is a very bad way to connect a transformer, which involves a 12 V battery. You may assume that the battery is ideal (i.e., zero internal resistance). The transformer has 10 turns on the primary winding, a saturation flux density of 1.2 T, a core cross-sectional area (Ac) of 10-4 m², and a relative permeability of 100 (i.e., He=100). You may assume that the saturation characteristics of the transformer is ideally hard, or in other words, the relative permeability of the core material is 100 for B <Bgat, and 1 for B > Bgat. Moreover, the magnetizing inductance (as measured from the primary side) is 12 H. a) At what time does the transformer saturate? Please provide a numerical answer. b) Find the time at which the primary current reaches 200 A. Please provide a numerical answer.

Answer 1

T --- from the given dit Paimary tums N, = 10 . Secondong tums W22 l Sahuration flux density Bar = 1.25 Core X - scations Area = 10m Luz 2014. let Ha corresponding to Bat a loata Beat = M Hata lextor Malour > Heta 1.2 YvTxió?xloo Luz V . Nov BA I 12 lsa Nj13. A ika Lu let Peat is the worust that corresponds to Bear Pera NX BuLX A Lox 12 x 104 best Lee -- 100 À axról → Ledi = 12. = L Beh 2 12. F 1-2x1600 Men (87 TODA - 2 FAJAX satu sat lar I that a 104 see or ol msec I 3 Lu Q0o = 12 ta yaxlox200 2 2000 fee B2 t2 02mte