Final Exam ECEN 322 Marko Iskander
questions and answers rated A+
The r component in cylindrical and spherical systems is the same - correct answer ✔✔ False
The limits of spherical coordinates are - correct answer ✔✔ 0≤r≤∞, 0≤Φ≤2π, -∞≤z≤∞
The z component in the Cartesian and Cylindrical system is the same - correct answer ✔✔ True
The coordinate system that uses x,y,z coordinates is called the Cartesian Coordinate System -
correct answer ✔✔ True
x̂ denotes the x directed unit vector - correct answer ✔✔ True
The Laplacian Operator of a vector field is a vector quantity - correct answer ✔✔ False
The curl of a vector field represents the rate of expansion of the field at a particular point -
correct answer ✔✔ False
The gradient of a scalar field is a vector field, while the divergence field is a vector field - correct
answer ✔✔ False
The Laplacian of a scalar field is equivalent to the divergence of its gradient - correct answer
✔✔ True
, In three dimensional space, the curl of a vector field is not always orthogonal to the original
vector field - correct answer ✔✔ False
a, b and c are three vectors such that c is perpendicular to both a and b. What is the value of the
magnitude of a × b × c? - correct answer ✔✔ 0
The cylindrical coordinate system is defined by x, y, and θ - correct answer ✔✔ False
The gradient operator () is used to find the rate of change of a scalar field - correct answer ✔✔
True
The divergence of a vector field measures its tendency to converge or diverge at a point -
correct answer ✔✔ True
The gradient of a scalar field is a vector field, while the divergence of a vector field is a scalar
field - correct answer ✔✔ False
The spherical coordinate system is defined by r, θ, and Φ - correct answer ✔✔ True
The curl of the gradient of a scalar field is always 0 - correct answer ✔✔ True
The curl of a vector field quantifies its rotation or vorticity at a given point in space - correct
answer ✔✔ True
A field can exist if it satisfies - correct answer ✔✔ All Maxwells Equations
The Maxwell's equation, ∇•B = 0 is due to the existence of a magnetic mono-pole - correct
answer ✔✔ False
questions and answers rated A+
The r component in cylindrical and spherical systems is the same - correct answer ✔✔ False
The limits of spherical coordinates are - correct answer ✔✔ 0≤r≤∞, 0≤Φ≤2π, -∞≤z≤∞
The z component in the Cartesian and Cylindrical system is the same - correct answer ✔✔ True
The coordinate system that uses x,y,z coordinates is called the Cartesian Coordinate System -
correct answer ✔✔ True
x̂ denotes the x directed unit vector - correct answer ✔✔ True
The Laplacian Operator of a vector field is a vector quantity - correct answer ✔✔ False
The curl of a vector field represents the rate of expansion of the field at a particular point -
correct answer ✔✔ False
The gradient of a scalar field is a vector field, while the divergence field is a vector field - correct
answer ✔✔ False
The Laplacian of a scalar field is equivalent to the divergence of its gradient - correct answer
✔✔ True
, In three dimensional space, the curl of a vector field is not always orthogonal to the original
vector field - correct answer ✔✔ False
a, b and c are three vectors such that c is perpendicular to both a and b. What is the value of the
magnitude of a × b × c? - correct answer ✔✔ 0
The cylindrical coordinate system is defined by x, y, and θ - correct answer ✔✔ False
The gradient operator () is used to find the rate of change of a scalar field - correct answer ✔✔
True
The divergence of a vector field measures its tendency to converge or diverge at a point -
correct answer ✔✔ True
The gradient of a scalar field is a vector field, while the divergence of a vector field is a scalar
field - correct answer ✔✔ False
The spherical coordinate system is defined by r, θ, and Φ - correct answer ✔✔ True
The curl of the gradient of a scalar field is always 0 - correct answer ✔✔ True
The curl of a vector field quantifies its rotation or vorticity at a given point in space - correct
answer ✔✔ True
A field can exist if it satisfies - correct answer ✔✔ All Maxwells Equations
The Maxwell's equation, ∇•B = 0 is due to the existence of a magnetic mono-pole - correct
answer ✔✔ False
