Question 3b continued (i) Ignoring flux leakage to the surroundings, sketch an equivalent circuit identifying the magnetomotive forces, flux and circuit reluctance. (ii) Ignoring flux leakage to the surroundings, calculate the total circuit reluctance to the nearest 100A/Wb (iii) Estimate the self-inductance of each winding, and hence the mutual inductance if the coupling factor k=0.95. (iv) The transformer is reconfigured as an inductor by connecting terminals b and d together, such that I₁ = I₂. What is the self-inductance of this new circuit? (v) The saturation flux density of the core is 1.2T. What is the maximum current that can flow in the circuit of part iv without saturating the core?

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter3: Magnetic Starters
Section: Chapter Questions
Problem 30SQ
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X= 0 

Y= 6

Can you please help me with parts 4 and 5

Question 3b continued
(i)
Ignoring flux leakage to the surroundings, sketch an equivalent circuit
identifying the magnetomotive forces, flux and circuit reluctance.
(ii)
Ignoring flux leakage to the surroundings, calculate the total circuit
reluctance to the nearest 100A/Wb
(iii)
Estimate the self-inductance of each winding, and hence the mutual
inductance if the coupling factor k=0.95.
(iv) The transformer is reconfigured as an inductor by connecting terminals b
and d together, such that I₁ = I₂. What is the self-inductance of this new
circuit?
(v)
The saturation flux density of the core is 1.2T. What is the maximum
current that can flow in the circuit of part iv without saturating the core?
Transcribed Image Text:Question 3b continued (i) Ignoring flux leakage to the surroundings, sketch an equivalent circuit identifying the magnetomotive forces, flux and circuit reluctance. (ii) Ignoring flux leakage to the surroundings, calculate the total circuit reluctance to the nearest 100A/Wb (iii) Estimate the self-inductance of each winding, and hence the mutual inductance if the coupling factor k=0.95. (iv) The transformer is reconfigured as an inductor by connecting terminals b and d together, such that I₁ = I₂. What is the self-inductance of this new circuit? (v) The saturation flux density of the core is 1.2T. What is the maximum current that can flow in the circuit of part iv without saturating the core?
In the next question, XY are the last two digits of your student number. For example, if your
number is C1700123, X=2 and Y=3.
b)
The magnetic circuit depicted in Figure 3 is a simple 2-winding single-
phase AC transformer.
le
1₁
Į₂
core
N₁
ao-
bo
Figure 3
The core is constructed from transformer steel with μ = 1100 + 20X,
has an effective path length le= (190 + 10X)mm and an effective
cross-section A = (55 - Y)cm². The windings have N₁ = 300 turns and
N₂ = 100 turns.
N₂
For example:
if your number is C1700123, then µ = 1140, l = 210mm, A = 52cm²
if your number is C1700100, then µ = 1100, lc = 190mm, A = 55cm²
Question 3b continues on the next page
Transcribed Image Text:In the next question, XY are the last two digits of your student number. For example, if your number is C1700123, X=2 and Y=3. b) The magnetic circuit depicted in Figure 3 is a simple 2-winding single- phase AC transformer. le 1₁ Į₂ core N₁ ao- bo Figure 3 The core is constructed from transformer steel with μ = 1100 + 20X, has an effective path length le= (190 + 10X)mm and an effective cross-section A = (55 - Y)cm². The windings have N₁ = 300 turns and N₂ = 100 turns. N₂ For example: if your number is C1700123, then µ = 1140, l = 210mm, A = 52cm² if your number is C1700100, then µ = 1100, lc = 190mm, A = 55cm² Question 3b continues on the next page
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