A closed silicon steel core has two windings composed of the same type of wire. The first winding has 250 turns; the second winding has 750 turns. If the two windings are connected in series the inductance is measured as 3.00 H. When the connection on one of the windings is reversed the inductance is then measured as 1.25 H. A. What is the self-inductance, L11, of winding one? B. What is the self-inductance, L22, of winding two? C. What is the mutual inductance, L12, of the arrangement? D. What is the coefficient of coupling, k? E. A voltage of 120 Volts at 60 Hz is applied to the coil with 750 turns. What is the voltage that would be expected at the other winding?

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A closed silicon steel core has two windings composed of the same type of wire. The first winding has
250 turns; the second winding has 750 turns. If the two windings are connected in series the inductance is
measured as 3.00 H. When the connection on one of the windings is reversed the inductance is then
measured as 1.25 H.
A. What is the self-inductance, L11, of winding one?
B. What is the self-inductance, L22, of winding two?
C. What is the mutual inductance, L12, of the arrangement?
D. What is the coefficient of coupling, k?
E. A voltage of 120 Volts at 60 Hz is applied to the coil with 750 turns. What is the voltage that would
be expected at the other winding?
Transcribed Image Text:A closed silicon steel core has two windings composed of the same type of wire. The first winding has 250 turns; the second winding has 750 turns. If the two windings are connected in series the inductance is measured as 3.00 H. When the connection on one of the windings is reversed the inductance is then measured as 1.25 H. A. What is the self-inductance, L11, of winding one? B. What is the self-inductance, L22, of winding two? C. What is the mutual inductance, L12, of the arrangement? D. What is the coefficient of coupling, k? E. A voltage of 120 Volts at 60 Hz is applied to the coil with 750 turns. What is the voltage that would be expected at the other winding?
B (T)
1.6
1.5
1.4
Nickel-Iron Alloy
1.3
Silicon Sheet
1.2
Steel
1.1
1.0
0.9
Cast Steel
0.8
0.7
0.6
0.5
0.4
0.3
Cast Iron
0.2
0.1
200
400
600
800 100 0 1200
100
300
500
700
900
1100
H (A-t/m)
Transcribed Image Text:B (T) 1.6 1.5 1.4 Nickel-Iron Alloy 1.3 Silicon Sheet 1.2 Steel 1.1 1.0 0.9 Cast Steel 0.8 0.7 0.6 0.5 0.4 0.3 Cast Iron 0.2 0.1 200 400 600 800 100 0 1200 100 300 500 700 900 1100 H (A-t/m)
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