Permanent Magnet and Electromechanical Devices 1st. Edition by Furlani E.P | 9780080513690 | 122699513 | Holooly

Electronic Devices and Circuits

Permanent Magnet and Electromechanical Devices

73 SOLVED PROBLEMS

Question: C.3.1

Apply the fourth-order Runge-Kutta method to the equations for rotational motion (5.87). ...

Verified Answer:

The equations governing rotational motion are [lat...

Question: C.1.1

Apply Euler’s method to the equations of motion (5.86) for an electromechanical device. ...

Verified Answer:

We reduce Eq. (5.86) to a set of algebraic equatio...

Question: A.6.3

Consider a vector A = Ax x + Ay y +Az z at a point (x, y, z) in Cartesian coordinates. Determine its location and representation in spherical coordinates. ...

Verified Answer:

From Table A.3 the location of (x, y, z) is [latex...

Question: A.6.2

Consider a vector A = Ars rs + Aθ θ + AΦ Φ at a point (rs, θ, Φ) in spherical coordinates. Determine its location and representation in cylindrical coordinates. ...

Verified Answer:

From Table A.2 the location of (

r_{s}[/late...

Question: A.6.1

Consider a vector A = Arc rc + AΦ Φ + Az z at a point (rc, Φ, z) in cylindrical coordinates. Determine its location and representation in Cartesian coordinates. ...

Verified Answer:

From Table A.1 the location in Cartesian coordinat...

Question: A.5.2

Verify the Divergence theorem for the vector field A(x, y) = αrr + βzz where V and S are the volume and surface of the cylinder shown in Fig. A.8. Here, α and β are constants. ...

Verified Answer:

We have already evaluated

\oint_{s} A· \hat...

Question: A.5.1

Verify Stokes’ theorem for the vector field A(x, y) = (2x – y)x – yz^2y + y^2zz where S is the half-surface of the sphere x^2 + y^2 + z^2 = a^2 and C is its bounding curve in the x-y plane (Fig. A.10). ...

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First, we evaluate

\int_{s} (∇×A) · \hat{n}...

Question: 5.15.1

Derive the equations of motion for the actuator shown in Fig. 5.53. ...

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This is a moving magnet actuator and its behavior ...

Question: A.4.3

Evaluate the integral ∮s A· ds where A(x, y) = αrr + βzz, and S is the closed surface of the cylinder shown in Fig. A.8. Here, α and β are constants. ...

Verified Answer:

We use cylindrical coordinates. First, we determin...

Question: A.4.2

Evaluate the line integral of A(x, y) = 2xyx + x^2y along the three paths shown in Fig. A.6. ...

Verified Answer:

Along path 1 we have

\int_{C_{1}} A(x,y)⋅dl...

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