This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: California State Polytechnic University Pomona '
Department of Electrical and Computer Engineering ECE 209 Network Analysis l  Fall 2016 Solution for Homework 3
Magnetically coupled circuit and linear transformer Due: Thu, Nov ’17, 2016 in class Problem 1 rﬂﬂﬁr—ﬁﬂ i——— ' i
it i +
4H ; {gilt iF mam
i. .1 For the magnetically coupled circuit in the figure aboVe.
1) Find the coupling coefﬁcient.
2) Calculate vo(t)_ Solution: 1: = Mfi./L1L2 : mil4x2 = 0.3535 0.5(1—j) Cal Poly Pomona ECE 209 Network Analysis ll W5“! 12 Z (2 +_j16)11+j412 3:9..454g19ﬁngaga ‘ I
New: 0 = 68+05 40.5)13+31411 «1 'CMWZT 0.445%! A V0 = 12(05JC1—j) = 0.321745759Di/
07069 = 321.7cesl4t + 57.6°) mV Problem 2 An ideal transformer is rated at 11000/4600 V and the secondary current is rated at 30 A. Calculate:
t) the transformer turns ratio 2) the kVA rating
3) the primary current. Solution: V1 = 11*1000.; % primary voltage in V V2 2 4600; l2 = 30; % secondary rated current in A 1') nturn = V1/V2 = 2.3913
2) kVA = V2*l2 = V1 * l1 = 138 kVA
73) Primary current I1 = I2 / nturn = 12.5455 A Cal Poly Pomona ECE 209 Network Analysis ll Problem 3
Find V0 in the following circuit. Solution: Mall 2444""""l;2'+32»35)I 34 51,, 15> zaJ (22533141151; £0 MfﬂalJ Flow161;, +(jz, 32+34*Z+4)I2_ «522' sag)5; leImLéﬁQJIl c2)
1 J l
I; M 1» 2245145527” A Cal Poly Pomona ECE 209 Netwgrk Analysis. ll Problem 4 Find the impedance seen by the source in the circuit below. Cal Poly Pomona ECE 209 Network Analysis H Problem 5 The coupled circuit in the following ﬁgure has a coefﬁcient of coupling of1 (i.e., k = 1), L1 = 23.653 mH
and L2 = 10.61 mH. Determine the energy stored in the mutually coupled inductors at time t = 5 ms. Solution: Cal Poly Pomona ECE 209 Network Analysis ll ...
View
Full Document
 Winter '09
 Cal Poly Pomona, California State Polytechnic University, Pomona, Cal Poly Pomona ECE, Poly Pomona ECE

Click to edit the document details