2. Figure 1 shows a sensor consists of a core, an armature and a variable air gap. The core with 3.0 cm depth and 10000 relative permeability has 200 coil turns. On the other hand, the armature is a steel plate of thickness 0.2 cm and has similar relative permeability with the core. Assuming the relative permeability of air is unity and the permeability of free space is equal to 4x x 10-7 H.m, calculate the inductance of the sensor for air gaps of 0 mm and 2 mm. Please write the answers in 3 decimal places. 2.0 cm 1.0 cm 6.0 cm 3.0 cm 1.5 cm Figure I

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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2. Figure 1 shows a sensor consists of a core, an armature and a variable air gap. The core with
3.0 cm depth and 10000 relative permeability has 200 coil turns. On the other hand, the armature
is a steel plate of thickness 0.2 cm and has similar relative permeability with the core. Assuming
the relative permeability of air is unity and the permeability of free space is equal to 4x x 10-7
H.m, calculate the inductance of the sensor for air gaps of 0 mm and 2 mm. Please write the
answers in 3 decimal places.
2.0 cm
1.0 cm
6.0 cm
3.0 cm
1.5 cm
Figure I
Transcribed Image Text:2. Figure 1 shows a sensor consists of a core, an armature and a variable air gap. The core with 3.0 cm depth and 10000 relative permeability has 200 coil turns. On the other hand, the armature is a steel plate of thickness 0.2 cm and has similar relative permeability with the core. Assuming the relative permeability of air is unity and the permeability of free space is equal to 4x x 10-7 H.m, calculate the inductance of the sensor for air gaps of 0 mm and 2 mm. Please write the answers in 3 decimal places. 2.0 cm 1.0 cm 6.0 cm 3.0 cm 1.5 cm Figure I
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