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IT is not so hard just quite easy - Engineering Mathematics PDF Download

Infinite number of straight wires each carrying current I are equally placed as shown in the figure. Adjacent wires have current in opposite direction. Net magnetic field at point P is
                                                                    
  • a)
     
  • b)
     
  • c)
     
  • d)
    Zero
Correct answer is option 'B'. Can you explain this answer?

Ref: https://edurev.in/question/704812/Infinite-number-of-straight-wires-each-carrying-current-I-are-equally-placed-as-shown-in-the-figure-

Magnetic field from a straight finite length wire is   μ I(sinθ1+sinθ2)/4πd 

d= perpendicular distance of point from wire 

I=current, θand θare angle of elevation from the point to top and bottom of wire

d=acos30=a√3/2

so magnetic field at point p from wires are

μI/4πa√3/2-μI/4π2a√3/2+μI/4π3a√3/2.........

μI2(1-1/2+1/3-1/4........)/4πa√3

log(1+x)=x-x2/2+x3/3-x4/4......

on putting x=1 we get  log2 =1-1/2+1/3-1/4.............

so magnetic field at point p is equal to μI2log2/4πa√3 or μIlog4/4πa√3

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FAQs on IT is not so hard just quite easy - Engineering Mathematics

1. What are the main topics covered in Engineering Mathematics?
Ans. Engineering Mathematics covers various topics such as calculus, differential equations, linear algebra, probability and statistics, complex analysis, and numerical methods.
2. How is Engineering Mathematics relevant to IT?
Ans. Engineering Mathematics is highly relevant to IT as it provides a foundation for understanding and applying mathematical concepts in various areas of information technology, including data analysis, algorithms, network optimization, cryptography, and artificial intelligence.
3. Is Engineering Mathematics difficult for IT students?
Ans. The difficulty level of Engineering Mathematics can vary depending on individual aptitude and prior mathematical knowledge. However, with proper guidance and regular practice, IT students can comprehend and excel in Engineering Mathematics.
4. What are the career prospects for IT professionals with knowledge of Engineering Mathematics?
Ans. IT professionals with a strong understanding of Engineering Mathematics have a wide range of career opportunities. They can work in fields such as data science, machine learning, software development, cybersecurity, network engineering, and research and development.
5. How can IT students improve their skills in Engineering Mathematics?
Ans. IT students can improve their skills in Engineering Mathematics by actively participating in class, seeking clarification from instructors, practicing regularly, utilizing online resources and tutorials, joining study groups, and applying mathematical concepts to real-world IT problems.
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