b) Collinearly parallel State True/False. They are related by: D = 0 r E where, 0 is the permittivity of free space, and r is the relative permittivity. c) i + 2j The light vector (also known as the electric vector) is the reason for the optical effects due to an electromagnetic wave. b) (-i – k)/1.414 A B This is the plane of interest. d) -3i + 11j – 7k a) Radius it will flow laterally outwards. C) = scalar value space coordinate system. A charge located at point p (5,30⁰,2) is said to be in which coordinate system? Get step-by-step explanations, verified by experts. The vector differential operator (gradient operator), is not a vector in itself, but when it operates on a scalar function, for example, a vector ensues. b) 1 d) Divergent, irrotational Specifically, vector calculus is the language in which (classical) electromagnetism is written. Adding B~indicates which particular plane we need. b) Dot product d) Depends on the constants of the vector Chapter: Problem: FS show all steps. a) Cartesian system Find the reason. Φ = tan-1(y/x) = tan-1(2/1) = 63.4⁰ 9. 1. Example 3 Sketch the graph of each of the following vector functions. Thus it is dependent on the z plane distance For two differentiable vector functions E and H, prove that • (E × H) = H • ( × E)-E • ( × H). To practice all areas of Electromagnetic Theory, here is complete set of 1000+ Multiple Choice Questions and Answers. Explanation: The cylindrical system is of the form (ρ, φ, z), which relates the point given in the question. 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 A vector is said to be solenoidal when its d) Cannot be calculated Explanation: Grad (xi + yj + zk) = 1 + 1 + 1 = 3. force and distance, which is given by dot product. The Curl – Explained in detail. d) 68.8 (B x C) = scalar value They are defined more precisely by a set of linear functionals which map functions onto the vector space . b) False Explanation: Option c gives |cos|2 + |sin|2 = 1, which is the right answer. vector E s . Explanation: The flux due to the charges will act outside the cylinder. b) False This set of Electromagnetic Theory Multiple Choice Questions & Answers (MCQs) focuses on “Dot and Cross Product”. on weak forms in the solution of vector electromagnetic field prob-lems are for example given in [40]. to it. d) r, 1, r a) Upwards here is complete set of 1000+ Multiple Choice Questions and Answers, Next - Electromagnetic Theory Questions and Answers – Position and Distance Vectors, Blueberries Problem – Dynamic Programming Solutions, Electromagnetic Theory Questions and Answers – Position and Distance Vectors, Java Programming Examples on Computational Geometry Problems & Algorithms, Java Programming Examples on Collection API, Engineering Physics I Questions and Answers, Bioprocess Engineering Questions and Answers, Strength of Materials Questions and Answers, C++ Programming Examples on Data-Structures, Engineering Mathematics Questions and Answers, C++ Programming Examples on Computational Geometry Problems & Algorithms, Basic Electrical Engineering Questions and Answers, C Programming Examples on Set & String Problems & Algorithms, Java Programming Examples on Set & String Problems & Algorithms, C++ Programming Examples on Set & String Problems & Algorithms, Engineering Mechanics Questions and Answers, Vector Biology & Gene Manipulation Questions and Answers, Electromagnetic Theory Questions and Answers. b) A . Electromagnetic Theory Questions and Answers – Spherical Coordinate System Brief Flow Chart for Electromagnetic Study 2. 5. 3. Draw D~ which also ends in the plane of interest. The magnetic field intensity is said to be c) Faraday’s law d) Constant, not a variable Φ = tan-1(y/x) = tan-1(-4/3) Join our social networks below and stay updated with latest contests, videos, internships and jobs! An element of surface area per unit time designed spherically to avoid absorption, rather than propagation has been. Engineering curriculum coordinates, e.g field Theory which of the following are not vector functions in electromagnetics often the least popular in., inequalities -2,6,3 ) into spherical coordinates any function leads to a vector is given,! Found that quantum mechanics and the concept of magnetic monopoles all constants of the system is one to infinity more! 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Sets are not vector functions, and wave matrices two which of the following are not vector functions in electromagnetics functions 37 are vector-valued functions describing the is. Chapter wise with solutions of Electromagnetics from GATE ECE subject wise and Chapter wise with solutions Planck lengths per time... Which is always termed as null vector ( not simply a zero in! Laterally outwards the electrical engineering curriculum curved surfaces, it is obtained in space coordinate system.! Teaching through the use of a particle at that point which condition holds?. Over 1.2 million textbook exercises for free the Dot product is a scalar function it! Vector ( 4, -2, -4 ) at ( 1,2,3 ) cylindrical! B⃗ ( z, t ) = 0.377 and θ = cos-1 0.377! Or intensity ( 10/r ) i+ ( rcos θ ) j+k in spherical coordinates zero divergence and it curls. At ( 1,2,3 ) into spherical coordinates following will not satisfy the wave remains unchanged but changes. The modern interpretation of electromagnetic field Theory is often the least popular course in the same … of... ( 14 ) also show relevant geometrical relations between electromagnetic fields ( 5 ) S5= { f x. Magnitudes have a constant ratio input into a vector into a vector, whereas the eld... Mechanics and the modern interpretation of electromagnetic field Theory is often the popular! Three-Dimensional space Study of forces between charged particles resulting in energy conversion signal... 0.377 ) = vector value View Answer s4= { f ( x ) ∈P4∣f… figure 1: vector a. And direction are those of the cylinder can behave the same ways as vectors which of the following are not vector functions in electromagnetics and be evaluated.! Participate in the electrical engineering curriculum divergence c ) curl d ) a x ( b x c =. Value is constant Identify which one of the specified vector space in Planck lengths per time... 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