# Electromechanical Systems: Determine the voltage across a moving coil

• Yuuichirou
In summary, the problem involves two mutually coupled coils with inductances L11 and L22 both equal to 3 + 2/3x (mH) and mutual inductances L12 and L21 both equal to 1/3x (mH), where x is in meters. The first question asks for the mutual electrical force between the coils at x = 0.01 m when i1 = 5 A dc and i2 = 0. The second question asks for the voltage across the second coil at x = 0.01 m when 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
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

How can I solve this problem?

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## 1. How does a moving coil in an electromechanical system produce voltage?

When a magnetic field is applied to a moving coil, it induces a current in the coil due to Faraday's Law of electromagnetic induction. This current then produces a voltage across the coil.

## 2. What is the relationship between the voltage and the speed of the moving coil?

The voltage produced by a moving coil is directly proportional to its speed. As the speed of the coil increases, the voltage across it also increases.

## 3. Can the direction of the voltage across the moving coil be reversed?

Yes, the direction of the voltage across a moving coil can be reversed by changing the direction of the magnetic field or by changing the direction of the coil's motion.

## 4. How can the voltage across a moving coil be measured?

The voltage across a moving coil can be measured using a voltmeter. The voltmeter is connected in parallel to the coil and measures the potential difference between two points on the coil.

## 5. What factors can affect the voltage produced by a moving coil in an electromechanical system?

The voltage produced by a moving coil can be affected by the strength of the magnetic field, the speed of the coil, the number of turns in the coil, and the resistance of the coil.

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