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Problem 6.6 The approximate electromagnetic structure of a reluctance force nail gun is shown. The iron core and arm have 10 cm by 10 cm cross sections. A non-permeable bearing separates the two pieces. Neglect flux leakage and fringing, and neglect the reluctance of the iron pieces Given: g = 0.5 mm, bearing thickness Xo = 9.5 cm, rest position of spring K= 10 N/m, spring constant R = 1.5 2, resistance of winding N = 100, number of winding turns a) Sketch the magnetic equivalent circuit. b) Give an expression for the reluctance force in terms of current, i, and position, x. c) What voltage is necessary to hold the arm at x = 1 cm with no external forces acting on the actuator? d) A constant, external force of 10 N pushes upwards against the arm. What voltage holds the arm halfway down (x = 5 cm)? %3D

Problem 6.6 The approximate electromagnetic structure of a reluctance force nail gun is shown. The iron core and arm have 10 cm by 10 cm cross sections. A non-permeable bearing separates the two pieces. Neglect flux leakage and fringing, and neglect the reluctance of the iron pieces Given: g = 0.5 mm, bearing thickness Xo = 9.5 cm, rest position of spring K= 10 N/m, spring constant R = 1.5 2, resistance of winding N = 100, number of winding turns a) Sketch the magnetic equivalent circuit. b) Give an expression for the reluctance force in terms of current, i, and position, x. c) What voltage is necessary to hold the arm at x = 1 cm with no external forces acting on the actuator? d) A constant, external force of 10 N pushes upwards against the arm. What voltage holds the arm halfway down (x = 5 cm)? %3D

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The approximate electromagnetic structure of a reluctance force nail gun is shown. The iron core and arm have 10 cm by 10 cm cross sections. A non-permeable bearing separates the two Problem 6.6 pieces. Neglect flux leakage and fringing, and neglect the reluctance of the iron pieces Given: g = 0.5 mm, bearing thickness Xo = 9.5 cm, rest position of spring K= 10 N/m, spring constant R= 1.5 2, resistance of winding N= 100, number of winding tumns a) Sketch the magnetic equivalent circuit. b) Give an expression for the reluctance force in terms of current, i, and position, x. c) What voltage is necessary to hold the arm at x = 1 cm with no external forces acting on the actuator? d) A constant, external force of 10 N pushes upwards against the arm. What voltage holds the arm halfway down (x 5 cm)? + > I
Transcribed Image Text:The approximate electromagnetic structure of a reluctance force nail gun is shown. The iron core and arm have 10 cm by 10 cm cross sections. A non-permeable bearing separates the two Problem 6.6 pieces. Neglect flux leakage and fringing, and neglect the reluctance of the iron pieces Given: g = 0.5 mm, bearing thickness Xo = 9.5 cm, rest position of spring K= 10 N/m, spring constant R= 1.5 2, resistance of winding N= 100, number of winding tumns a) Sketch the magnetic equivalent circuit. b) Give an expression for the reluctance force in terms of current, i, and position, x. c) What voltage is necessary to hold the arm at x = 1 cm with no external forces acting on the actuator? d) A constant, external force of 10 N pushes upwards against the arm. What voltage holds the arm halfway down (x 5 cm)? + > I
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