xample 1-16 (SI) The core in Figure 1-14 is made of cast iron. Find the coil MMF necessary to get a flux of 15 x 10-4 Wb. Assume that the cross-sectional area for the core as well as the air gap is uniform and equals 20 × 10-4 m². Part Cast iron Air gap Total MMF 0.08 m Figure 1-14 Core for Example 1-16. $ 15 x 10-4 15 x 10 Air Gap Solution There are two parts to this circuit, the cast-iron core and the air gap (see Table 1-4). Table 1-4 A 20 x 104 20 × 10 B 1,3 x 10-3 m 0.75 0.75 H 4.5 x 10¹ 5.97 x 105 0.05 m 1 0.26 1.3 × 10-³ HI 1170 776.1 1946.1

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Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.9MCQ: Match the following: (i) Hysteresis loss (a) Can be redud by constructing the core with laminated...
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Example 1-16 (SI)
The core in Figure 1-14 is made of cast iron. Find the coil MMF necessary to get a flux
of 15 x 10-4 Wb. Assume that the cross-sectional area for the core as well as the air gap
is uniform and equals 20 x 10-4 m².
Part
Cast iron
Air gap
Total MMF
0.08 m
Figure 1-14 Core for Example 1-16.
$
15 x 10-4
15 × 10*
Air Gap
Solution
There are two parts to this circuit, the cast-iron core and the air gap (see Table 1-4).
Table 1-4
A
20 x 104
20 x 104
B
1,3 X 10-3 m
0.75
0.75
H
4.5 × 10³
5.97 x 10³
0.05 m
[
0.26
1.3 x 10-³
HI
1170
776.1
1946.1
Transcribed Image Text:Example 1-16 (SI) The core in Figure 1-14 is made of cast iron. Find the coil MMF necessary to get a flux of 15 x 10-4 Wb. Assume that the cross-sectional area for the core as well as the air gap is uniform and equals 20 x 10-4 m². Part Cast iron Air gap Total MMF 0.08 m Figure 1-14 Core for Example 1-16. $ 15 x 10-4 15 × 10* Air Gap Solution There are two parts to this circuit, the cast-iron core and the air gap (see Table 1-4). Table 1-4 A 20 x 104 20 x 104 B 1,3 X 10-3 m 0.75 0.75 H 4.5 × 10³ 5.97 x 10³ 0.05 m [ 0.26 1.3 x 10-³ HI 1170 776.1 1946.1
Example 1-14 (SI)
The core in Figure 1-12 has a uniform cross-sectional area of 9 x 10-4 m². To get a flux
of 0.75 x 10-³ Wb, find:
(a) The coil MMF required
(b) The current in the coil
Solution
A systematic way to solve the problem is to set up Table 1-2. The table will have a row
for each part of the circuit. In this example there are two parts; one made of cast iron,
the other made of cast steel. The table is filled in from left to right as the calculations
are made.
Cast Iron
I
O
500 Turns
Table 1-2
Part
Cast iron
Cast steel
Total MMF
2 cm-
Figure 1-12 Core for Example 1-14.
$
0.75 X
10-3
0.75 X 10-³
A
4 cm
9 × 104
9 x 104
B
0.83
0.83
H
9.4 k
0.5 k
Cast Steel
3 cm
1
0.07
0.11
HI
658
55
713
Transcribed Image Text:Example 1-14 (SI) The core in Figure 1-12 has a uniform cross-sectional area of 9 x 10-4 m². To get a flux of 0.75 x 10-³ Wb, find: (a) The coil MMF required (b) The current in the coil Solution A systematic way to solve the problem is to set up Table 1-2. The table will have a row for each part of the circuit. In this example there are two parts; one made of cast iron, the other made of cast steel. The table is filled in from left to right as the calculations are made. Cast Iron I O 500 Turns Table 1-2 Part Cast iron Cast steel Total MMF 2 cm- Figure 1-12 Core for Example 1-14. $ 0.75 X 10-3 0.75 X 10-³ A 4 cm 9 × 104 9 x 104 B 0.83 0.83 H 9.4 k 0.5 k Cast Steel 3 cm 1 0.07 0.11 HI 658 55 713
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