Q1(6 pts.) A square magnetic core has a mean path length of 50 cm and a cross-sectional area of 100 cm2. A 200 turn coil is wrapped around one leg of the core. The core has the magnetization curve shown below. µo = 4π x 10-7 H/m a) (2) Find the current (i) required to produce 0.012 wb of flux in the core? b)(2) What is the cores relative permeability (µr) at that current level. c)(2) What is the cores maximum reluctance (Rmax)? a) i = ___0._625 A__ b) µr = __3820_____ c) Rmax = 147,059 AT/mQ2 (6 points) Find total real power (P) and power factor (pf) delivered by the three phase source. Zϕ = 14.14 < 45° Zϕ = 10 < - 30° a)(3) P = _54,529 W_ b)(3) Pf = _0.92 lag__Q3 (8 points) A 10 kVA, 2200/220V transformer is at full load delivering rated current and voltage at a unity pf. The transformer has the following equivalent circuit parameters referred to the primary: Req = 40Ω, Xeq = 40Ω, Rc = 50kΩ, Xm = 10 KΩ a) (3) Sketch the transformer equivalent circuit referred to the low voltage side. Label all components and their value. b) (3) Find the voltage regulation (VR) for the transformer. c) (2) What is transformer efficiency (η)? Equivalent circuit goes here. Req = 0.4Ω, Xeq = 0.4Ω, Rc = 500Ω, Xm = 100Ω b) VR = __8.6%______ c) η = ___91.4%_____ELECT 316 Practice EXAM #1 NAME : ________________________________ Notes: 1. All voltages and currents are rms values unless specifically noted. 2. All answers require correct units for full credit. 3. Please place answer in boxes where provided. Question # Points Grade 1 6 2 6 3 8 Total