Silicon sheet steel 1.3 Core segments A and B 1.2 Mean path 1.1 Cast steel 1.0 0.9 0.8 0.7 0.6 2 0.5 Cast iron |Switch 04 contacts 0.3 0.2 0.1 200 400 600 800 Field intensity. H (Aum) 1000 The relay of Fig. 2 has a coil with N = 550 turns, a square cross-section with width 1 cm, and its mean core path is le = 240 mm. When the air gap lengths are 1.2 mm each, a flux density of 0.6 T is required to actuate the relay. The core is cast steel (B-H curves on the lab's last page). Part 1 Task: Find the inductance L and current i for the above operating condition. Show all work.

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Given the attached diagrams and values, please solve for current (I) and inductance (L) of the relay.  

Bc = 0.6 T

Hc ~ 410 AT/m (Approx. from curve)

N= 550

Lc = 240mm

Ag = 1.2 mm

14
1.3
Silicon
Core segments A and B
sheet steel
1.2
Mean path
1.1
Cast steel
1.0
0.9
0.8
0.7
0.6
0.5
Cast iron
Switch
04
contacts
0.3
0.2
0.1
200
400
600
800
1000
Field intensity. H (At/m)
The relay of Fig. 2 has a coil with N = 550 turns, a square cross-section with width 1 cm, and its mean
core path is le = 240 mm. When the air gap lengths are 1.2 mm each, a flux density of 0.6 T is required
to actuate the relay. The core is cast steel (B-H curves on the lab's last page).
Part 1 Task: Find the inductance L and current i for the above operating condition. Show all work.
Flux density, B (tesla)
Transcribed Image Text:14 1.3 Silicon Core segments A and B sheet steel 1.2 Mean path 1.1 Cast steel 1.0 0.9 0.8 0.7 0.6 0.5 Cast iron Switch 04 contacts 0.3 0.2 0.1 200 400 600 800 1000 Field intensity. H (At/m) The relay of Fig. 2 has a coil with N = 550 turns, a square cross-section with width 1 cm, and its mean core path is le = 240 mm. When the air gap lengths are 1.2 mm each, a flux density of 0.6 T is required to actuate the relay. The core is cast steel (B-H curves on the lab's last page). Part 1 Task: Find the inductance L and current i for the above operating condition. Show all work. Flux density, B (tesla)
Expert Solution
Step 1

As we have given :

N=550 turnsw=1 cmlc=240 mmlg=1.2 mmB=0.6 T

 

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