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Ch 1 Fields
1.1 Quiz (Gradient of a Scalar Field)
1、单选题:
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、单选题:
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、单选题:
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、单选题:
A:
B:
C:
D:
答案:
5、单选题:
A:
B:
C:
D:
答案:
1.2 Quiz (Divergence of a Vector Field)
1、单选题:
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、单选题:
A: 1
B: 2
C: 3
D: 4
答案: 2
3、单选题:
A: 10
B: 8
C: 12
D: 14
答案: 8
4、单选题:
A:
B:
C:
D:
答案:
1.3 Quiz (Curl of a Vector Field)
1、单选题:
A:
B:
C:
D:
答案:
2、单选题:
When a vector field satisfies ( ), it can be expressed by the gradient of a scalar field.
A:
B:
C:
D:
答案:
3、单选题:
A:
B:
C:
D:
答案:
Ch 2 Electrostatic Fields
2.1 Quiz (Electric Field Intensity of Electrostatic Field)
1、单选题:
A:
B:
C:
D:
答案:
2、单选题:
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、单选题:
A: It is proportional to r.
B: It is inversely proportional to r.
C:
D: It is independent of r.
答案:
4、单选题:
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
2.10 Quiz(The Method of Electric Axes)
1、单选题:
A: The method of electric axes is applicable for the region inside and outside the conducting cylinders.
B:
C:
D: The essence of the method of electric axes is to replace the induced charge distribution on the conductor surfaces with the imaginary concentrated line charges outside the field boundary.
答案: The essence of the method of electric axes is to replace the induced charge distribution on the conductor surfaces with the imaginary concentrated line charges outside the field boundary.
2、单选题:
A:
B:
C:
D:
答案:
3、判断题:
We can use the Gauss’s law and superposition principle to calculate the electric field of two parallel infinite line charges.
A: 正确
B: 错误
答案: 正确
4、判断题:
A: 正确
B: 错误
答案: 错误
5、判断题:
The introduction of imaginary concentrated line charges must keep the original boundary conditions unchanged.
A: 正确
B: 错误
答案: 正确
6、判断题:
The theoretical basis of the method of electric axes is the uniqueness theorem.
A: 正确
B: 错误
答案: 正确
7、判断题:
The method of electric axes can be used to solve the external electric field of two long parallel charged conducting cylinders with different radii.
A: 正确
B: 错误
答案: 正确
2.11 Quiz(Capacitance)
1、单选题:
The capacitance of a capacitor is related to
A: the voltage of the capacitor
B: the charge of the capacitor
C: the shape and dielectric of the capacitor
D: the electric field intensity of the capacitor
答案: the shape and dielectric of the capacitor
2、单选题:
About capacitance, which is false?
A: Capacitance is the ratio of the magnitude of the charge on either conductor to the magnitude of the potential difference between two conductors.
B: Capacitance is only related to the charge.
C: Capacitance is independent of the potential and total charge of the capacitor.
D: A capacitor is a device that stores electric energy, usually consisting of two conductors.
答案: Capacitance is only related to the charge.
3、单选题:
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