Electromechanical Systems: Determine the voltage across a moving coil

AI Thread Summary
The discussion focuses on solving a problem involving two mutually coupled coils with given inductances and currents. The first part requires calculating the mutual electrical force between the coils when one coil carries a current of 5 A and the other is not energized. The second part involves determining the voltage across an open-circuited second coil moving at a constant speed while the first coil is energized. Participants suggest that additional equations related to inductance may be necessary for a complete solution. The conversation emphasizes the need for a deeper understanding of the relationships between current, inductance, and induced voltage in electromechanical systems.
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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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