L16.1 The Dirac delta function: Solution Problem 1.43, 1.44, 1.45

#electrodynamics #Griffiths #DiracDeltaFunction
00:00 - Introduction to Dirac Delta Function Problems
00:07 - Problem 1.43: Integral Involving Dirac Delta Function
00:20 - Solution to Part A: Evaluation of the Integral
01:32 - Part B: Cosine Function with Dirac Delta
02:14 - Solution to Part B: Calculation Using Dirac Delta
02:42 - Part C: Integral Involving Cubic Function and Dirac Delta
03:32 - Part D: Logarithmic Function with Dirac Delta
04:22 - Understanding the Dirac Delta Function
04:51 - Problem 1.44: Integral Involving Delta Function
05:00 - Simplification of Integral in Part A
05:44 - Part B: Cubic Function with Delta Function
06:57 - Part C: Integral with Quadratic Function and Delta
07:43 - Part D: Delta Function with Undefined Parameters
08:57 - Corollary Problem: Derivative of Delta Function
09:56 - Problem Solution: Derivative of Delta Function
13:10 Solution problem 1.45

The Dirac delta function δ(x-a)
Lecture Notes:

In this video lecture on electrodynamics, we solve problems 1.43, 1.44, and 1.45 from David J. Griffiths' BS level book. The focus of this lecture is on the Dirac delta function, which is a mathematical tool used to represent impulsive phenomena in physics. We explore the properties and applications of the Dirac delta function, including its relationship to Fourier transforms and Green's functions. This lecture is a valuable resource for students and professionals interested in understanding the fundamental concepts of electrodynamics.

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[Kajkaszaj]

very nicely, and simply explained. looking forward for next chapter. thank you soo much Sir.

[SUM-]

May you always be blessed with bunch of landmark achievements.♥️🌹
Dear sir

[mariusmart]

in problem 1.44 a) you showed the (2*0+3)=3, but there is still a 1/abs(3) infront??

[NaseerAhmad-ddpp]

God bless you my dear sir always love u and ur hard work 💕💕💕

[abktv]

sir, I do not understand why we need to change the limits, especially in 1.44 (c), and on base of what we change the limits. and in last corollary, we take xf(x)delta(x)=0 is this bcz there was no other number like in a part of 1.44 and why did not we used 1/k method to solve this, I hope I will get your kind reply