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起止时间:2021-03-03到2021-06-30
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Ch 1 Fields 1.1 Quiz (Gradient of a Scalar Field)
1、 About gradient, which one is right?
A:Gradient of a scalar field is a scalar.
B:The magnitude of a gradient is the maximum change rate of the scalar function.
C:The direction of a gradient is the direction of the directional derivative.
D:The gradient of a constant is not certain.
答案: The magnitude of a gradient is the maximum change rate of the scalar function.
2、 About the relationship between gradient and directional derivative of a scalar field, which one is right?
A:The magnitude of a gradient is the maximum value of the scalar function at the point, and its direction is the direction in which the scalar function changes the most slowly.
B:The magnitude of a gradient is the minimum change rate of the scalar function at this point, and its direction is the reverse direction of the maximum change of the scalar function.
C:The magnitude of a gradient is the maximum change rate of the scalar function at this point, and its direction is the direction in which the scalar function is increasing the most rapidly.
D:The magnitude of a gradient is the minimum value of the scalar function at this point, and its direction is the direction in which the scalar function is increasing the most rapidly.
答案: The magnitude of a gradient is the maximum change rate of the scalar function at this point, and its direction is the direction in which the scalar function is increasing the most rapidly.
3、 About gradient and directional derivative, which one is false?
A:Along the direction of the gradient, change rate of the scalar is the maximum.
B:The directional derivative is the maximum in the direction of the gradient.
C:If the directional derivative is positive, the function increases in this direction.
D:The directional derivative of a scalar function at a given point is unique.
答案: The directional derivative of a scalar function at a given point is unique.
4、 
A:
B:
C:
D:
答案:
5、 
A:
B:
C:
D:
答案:
Ch 1 Fields 1.2 Quiz (Divergence of a Vector Field)
1、 Which one is false?
A:Divergence of a vector field is a scalar.
B:Divergence of a scalar field is a scalar.
C:If divergence of a vector field at one point is positive, there is a positive source at this point
D:If divergence of a vector field at one point is zero, there is no source at this point.
答案: Divergence of a scalar field is a scalar.
2、 
A: 1
B: 2
C: 3
D: 4
答案: 2
3、 
A:10
B:8
C:12
D:14
答案: 8
4、 
A:
B:
C:
D:
答案:
Ch 1 Fields 1.3 Quiz (Curl of a Vector Field)
1、 
A:
B:
C:
D:
答案:
2、 When a vector field satisfies ( ), it can be expressed by the gradient of a scalar field.
A:
B:
C:
D:
答案:
3、 
A:
B:
C:
D:
答案:
Ch 2 Electrostatic Fields 2.1 Quiz (Electric Field Intensity of Electrostatic Field)
1、 
A:
B:
C:
D:
答案:
2、 A point charge q in vacuum is located at the coordinate origin. The electric field intensity at P (0, 2, 2) produced by the point charge is
A:
B:
C:
D:
答案:
3、 
A:It is proportional to r.
B:It is inversely proportional to r.
C:
D:It is independent of r.
答案:
4、 The radius of a uniformly charged conducting sphere is R and the charge quantity is Q. The electric field intensity inside the conductor is
A:0
B:
C:
D:
答案: 0
Ch 2 Electrostatic Fields 2.2 Quiz (Potential of an Electrostatic Field)
1、 In electrostatic fields, at points with zero potential, which is right?
A:The electric field intensity is also zero.
B:The electric field intensity may not be zero.
C:Whether the electric field intensity is zero or not is related to the selection of potential reference point.
D:The divergence of the electric field intensity is also be zero.
答案: The electric field intensity may not be zero.
2、 Which is right?
A:In the region with the same electric field intensity, the potential must be the same everywhere.
B:The electric field intensity should be the same at points with the same potential.
C:The magnitude of the electric field intensity at one point is related to the maximum change rate of potential at that point.
D:The potential must be zero at the point where the electric field intensity is zero.
答案: The magnitude of the electric field intensity at one point is related to the maximum change rate of potential at that point.
3、 An electrostatic field is produced by a volume charge in a finite volume V¢ with the density of r(r¢). The potential φ at location r in the field is
A:
B:
C:
D:
答案:
4、 The theoretical basis of introducing potential function into electrostatic field is
A:
B:
C:
D:
答案:
5、 
A:
B:
C:
D:
答案:
Ch 2 Electrostatic Fields 2.3 Quiz (Streamlines & Equipotential Surfaces)
1、 For a perfect conductor, what is the relationship between the streamlines and the conductor surface?
A:They are perpendicular.
B:They are parallel.
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