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A charge located at point p (5,30⁰,2) is said to be in which coordinate system?
Answer: b Explanation: The cylindrical system is of the form (ρ, φ, z), which relates the point given in the question.
Answer: b
Explanation: The cylindrical system is of the form (ρ, φ, z), which relates the point given in the question.
See lessCylindrical systems have the following scalar values respectively
Answer: a Explanation: The range of radius is one to unity, that of plane angle is one to 360 degree and that of z plane is one to infinity. Thus the minimum scalar factor has to be 1, ρ , 1.
Answer: a
See lessExplanation: The range of radius is one to unity, that of plane angle is one to 360 degree and that of z plane is one to infinity. Thus the minimum scalar factor has to be 1, ρ , 1.
Transform the vector B=yi+(x+z)j located at point (-2,6,3) into cylindrical coordinates.
Answer: a Explanation: ρ = √(x2+y2) = √40 = 6.325 Φ = tan-1(y/x) = tan-1(-6/2) = -71.57 z = 3.
Answer: a
See lessExplanation: ρ = √(x2+y2) = √40 = 6.325
Φ = tan-1(y/x) = tan-1(-6/2) = -71.57
z = 3.
The cylindrical coordinate system is also referred to as
Answer: b Explanation: The cylindrical coordinates(r,φ,z) is also called as circular system and is used for systems with circular dimensions.
Answer: b
See lessExplanation: The cylindrical coordinates(r,φ,z) is also called as circular system and is
used for systems with circular dimensions.
Vector transformation followed by coordinate point substitution and vice- versa, both given the same result. Choose the best answer.
Answer: a Explanation: The order of vector transformation and point substitution will not affect the result, only when the vector is a constant.
Answer: a
See lessExplanation: The order of vector transformation and point substitution will not affect the result, only when the vector is a constant.
Which of the following criteria is used to choose a coordinate system?
Answer: d Explanation: The coordinate system is chosen based on the geometry of the given problem. From a point charge +Q, the electric field spreads in all 360 degrees. The calculation of electric field in this case will be spherical system.
Answer: d
See lessExplanation: The coordinate system is chosen based on the geometry of the given
problem. From a point charge +Q, the electric field spreads in all 360 degrees. The
calculation of electric field in this case will be spherical system.
The spherical equivalent of the vector B = yi + (x + z)j located at (-2,6,3) is given by
Answer: d Explanation: Substitute the points in the vector and convert the Cartesian to cylindrical form to get radius as 7, plane angle1 as 64.62 and plane angle2 as -71.57.
Answer: d
See lessExplanation: Substitute the points in the vector and convert the Cartesian to cylindrical form to get radius as 7, plane angle1 as 64.62 and plane angle2 as -71.57.
Transform the vector A = 3i – 2j – 4k at P(2,3,3) to cylindrical coordinates
Answer: a Explanation: Convert the Cartesian form to cylindrical form by formula and substitute the points to get -3.6j – 4k.
Answer: a
See lessExplanation: Convert the Cartesian form to cylindrical form by formula and substitute the points to get -3.6j – 4k.
The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False
Answer: a Explanation: All the coordinate systems are inter-convertible and all the vector operations are applicable to it.
Answer: a
See lessExplanation: All the coordinate systems are inter-convertible and all the vector
operations are applicable to it.
The angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees)
Answer: c Explanation: The dot product the vector is 8. Angle of separation is cos θ = 8/ (7.07 X 3)= 0.377 and θ = cos-1(0.377) = 67.8.
Answer: c
See lessExplanation: The dot product the vector is 8. Angle of separation is cos θ = 8/ (7.07 X 3)= 0.377 and θ = cos-1(0.377) = 67.8.