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1600 CAT Questions, 300 Video Solutions and 41 Topic Wise Tests

CAT Algebra questions from Linear equations and Quadratic equations that appear in the Quantitative Aptitude section of the CAT Exam consists of concepts from Equations and Algebra. Get as much practice as you can in these two topics because the benefits of being good at framing equations can be enormous and useful in other CAT topics as well. In CAT Exam, one can generally expect to get 1~2 questions from Linear Equations and Quadratic Equations. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

Electromagnetic Field Theory
Q1.

The electric fields of a UPW incident on an antenna is given as : {E_{inc}} = (\overrightarrow {{a_x}}  + 5\overrightarrow {{a_y}} ){E_0}{e^{jkz}} while that of an antenna directed towards the incident wave is given as : {E_{ant}} = (\overrightarrow {{a_x}}  + j2\overrightarrow {{a_y}} )\frac{{{E_I}}}{r}{e^{ - jkz}}

Find the polarisation of the two waves as well as the loss due to polarisation mismatch between the two waves :

Electromagnetic Field Theory
Q2.

The skin depth of a conducting material is 5 micron at an operating frequency of 2 GHz. If an non magnetic conductor whose conductivity is half the value for the corresponding conducting material at 10 GHz , then find its skin depth :