Electromechanical Systems: Determine the voltage across a moving coil

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SUMMARY

The discussion focuses on determining the voltage across a moving coil in a system of mutually coupled coils, specifically with parameters L11 = L22 = 3 + 2/3x (mH) and L12 = L21 = 1/3x (mH). The first part of the problem involves calculating the mutual electrical force when i1 = 5 A dc and i2 = 0 at x = 0.01 m. The second part requires finding the voltage across the second coil when it is open-circuited and moving at a speed of 20 m/s. The relevant equation for this analysis is Fe = 1/2 i² ∂l/∂x.

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  • Understanding of mutual inductance in electromechanical systems
  • Familiarity with the concept of electrical force in coupled coils
  • Knowledge of basic electrical circuit theory
  • Proficiency in applying calculus to derive relationships between variables
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  • Study the principles of mutual inductance and its applications in electromechanical systems
  • Learn how to derive voltage equations for moving coils in magnetic fields
  • Explore the effects of speed on induced voltage in open-circuited coils
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Yuuichirou
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Homework Statement
Figure shows two mutually coupled coils, for which

L11= L22 = 3 + 2/3x (mH)
L12 = L21 = 1/3x (mH)

where x is in meters, (a) If i1 = 5 A dc and i2 = 0, what is the mutual electrical force between the coils at x = 0.01 m? ( b ) If i1 = 5 A dc and the second coil is open-circuited and moved in the positive x -direction at a constant speed of 20 m/s, determine the voltage across the second coil at x = 0.01 m.
Relevant Equations
Fe = 1/2 i² ∂l/∂x
Homework Statement: Figure shows two mutually coupled coils, for which

L11= L22 = 3 + 2/3x (mH)
L12 = L21 = 1/3x (mH)

where x is in meters, (a) If i1 = 5 A dc and i2 = 0, what is the mutual electrical force between the coils at x = 0.01 m? ( b ) If i1 = 5 A dc and the second coil is open-circuited and moved in the positive x -direction at a constant speed of 20 m/s, determine the voltage across the second coil at x = 0.01 m.
Homework Equations: Fe = 1/2 i² ∂l/∂x

Sem título.png

How can I solve this problem?
 
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