questions on vectors and electromagnetism
TRANSCRIPT
MANMOHAN DASH, PHYSICIST, TEACHER !
Physics for ‘Engineers and Physicists’
“A concise course of important results”
Complement-1
Question Pool >> ‘Vectors and Electromagnetism’
A collection of 24 short and long answer type questions on the chapters we just finished >> Lecture-1 and Lecture-2 !
25-08-2015
Recapitulation !
We discussed the ‘vectors and fields’ in the first lecture and ‘laws of electromagnetism’ in the 2nd.
Lecture–1 Vector Calculus and Operations Lecture–2 Electrodynamics
‘Here are a set of relevant questions. Have a look at the lectures linked below, if you want to attempt to solve the problem’ >> Lecture-1 << and >> Lecture-2 <<
Vector definitions, properties. Electromagnetic Fields
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Q1. Prove the following with details. Q2. Prove that.
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Aii
i
Q5. Define Gradient, Divergence and Curl.
Q4. Define Solenoidal and Irrotational field.
Q6. Define line, surface and volume integral of a vector field. Write the flux of E (electric field) as a surface integral.
Q3. Define Electric Field E, Electric Displacement vector D and Electric Flux Phi.
EDE , ,
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Vector Properties. Electromagnetic Fields.
Q7. Write the integral form of gradient, divergence and curl.
Q8. State Coulomb’s law of electrostatic force mathematically and in words. State Gauss Law in Electrostatics.
Q9. Use Gauss Law of Electrostatics to derive the E (electric field) due to a point charge at a distance r from it.
Q10. Write the Lorentz force F on a charge q, moving at a velo- city v in a magnetic field B.
Q11. Write the Biot-Savart Law. Define flux of B.
Q12. Define magnetic intensity H & magnetic flux Phi.
Q13. What are the cgs and SI unit of magnetic field B?
Q14. Write the integral and differential form of Gauss Law in Electrostatics and Gauss Law in Magnetism >>
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,
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qv
FB B
,
,
Laws of Electromagnetic phenomena.
Q15. Write the integral form of Maxwell’s electromagnetic equations.
Q16. Derive the differential form of Ampere’s Circuital Law from its integral form.
Q17. Write the Ampere’s Circuital Law, Use Ampere’s circuital law to derive magnetic field B due to a straight current carrying conductor.
Q18. Whats Maxwell’s displacement current Id? From the concept of Id in a simple circuit with a capacitor of charge q & area A derive a general form for Id. That is, derive;
Q19. Whats Faraday’s Law of E-M induction. Derive its differential form.
Q20. By using the following derive the equation of continuity.
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S
,
B
tI E
d
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Laws of Electromagnetic Phenomena
Q21. State modified Ampere’s Circuital Law. Its also known as Ampere-Maxwell relation. Write its differential form.
Q22. Write the 4 Maxwell’s electromagnetic equations in differential form, in terms of fields E, B, H, D with sources of charge and currents
?
DHBE
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Long Answer Type Questions; Electromagnetic Phenomena
Q23. Use Stoke’s Theorem to convert integral form of Ampere’s Circuital Law to its differential form. Derive the equation of continuity. Explain its Physical Significance.
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IldBC
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Ampere’s Circuital Law in integral form
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tj
Equation of Continuity
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Long Answer Type Questions; Vector Calculus
Q24. Prove the Green’s Theorem. Hint; Use Gauss Divergence Theorem and identities from vector calculus.
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Green’s Theorem
Thank you
This is the first set of question presented here on electromagnetism course for an engineering 1st year class. This is also useful for ‘hons’ and ‘pass’ Physics students.
This was a course I delivered to engineering first years, around
9th November 2009. The slides were compiled; 25 Aug 2015.
Next; Lectures and question-set on ‘electromagnetic waves’
and ‘Oscillations and Waves’. You can write me at [email protected] or visit my website at http://mdashf.org