Uploaded February 2026 | Updated September 2026, 3 weeks ago
*In this video, the concept of Del Operator, the physical significance of Gradient and how to represent the Gradient of the scalar field in the different coordinate system is explained with solved example.*
The following topics are covered in the video:
0:00 What is Del Operator
3:33 What is Gradient and its physical significance
8:17 Solved Problem
*Del Operator:*
It is a vector differential operator. Depending how this operator is used with vector or scalar field, we will get either Gradient, Divergence or Curl.
When this operator is used with Scalar Field, is gives Gradient of the Scalar Field.
*Gradient of Scalar Field*
The Gradient of the Scalar Field is Vector Quantity. At any given point, the Gradient of Scalar field is the maximum rate of change of the field at that point.
In this video, how to mathematically represent the Gradient in the different coordinate system is explained. And mathematically it is also proved that indeed this gradient points in the direction where there is a maximum change in the scalar field.
_*The link for the other useful videos and playlist:*_
*Line, Surface and Volume Integral Explained*
youtu.be/JPOWjAt0aC4?si=-F7-JgBGvI2AGYN3
*Electromagnetic Theory (playlist:)*
bit.ly/4nrqFDv
*Digital Electronics (playlist):*
bit.ly/31gBwMa
*Analog Electronics (playlist):*
bit.ly/3QtqdnN
This video will be helpful to all the students of science and engineering in understanding the concept of Del operator, the physical significance of Gradient and how to represent the Gradient of the Scalar Field in the different coordinate system.
#ALLABOUTELECTRONICS
#gradient
#emft
#vectorcalculus
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Music Credit: bensound.com
*In this video, the concept of Del Operator, the physical significance of Gradient and how to represent the Gradient of the scalar field in the different coordinate system is explained with solved example.*
The following topics are covered in the video:
0:00 What is Del Operator
3:33 What is Gradient and its physical significance
8:17 Solved Problem
*Del Operator:*
It is a vector differential operator. Depending how this operator is used with vector or scalar field, we will get either Gradient, Divergence or Curl.
When this operator is used with Scalar Field, is gives Gradient of the Scalar Field.
*Gradient of Scalar Field*
The Gradient of the Scalar Field is Vector Quantity. At any given point, the Gradient of Scalar field is the maximum rate of change of the field at that point.
In this video, how to mathematically represent the Gradient in the different coordinate system is explained. And mathematically it is also proved that indeed this gradient points in the direction where there is a maximum change in the scalar field.
_*The link for the other useful videos and playlist:*_
*Line, Surface and Volume Integral Explained*
youtu.be/JPOWjAt0aC4?si=-F7-JgBGvI2AGYN3
*Electromagnetic Theory (playlist:)*
bit.ly/4nrqFDv
*Digital Electronics (playlist):*
bit.ly/31gBwMa
*Analog Electronics (playlist):*
bit.ly/3QtqdnN
This video will be helpful to all the students of science and engineering in understanding the concept of Del operator, the physical significance of Gradient and how to represent the Gradient of the Scalar Field in the different coordinate system.
#ALLABOUTELECTRONICS
#gradient
#emft
#vectorcalculus
Support the channel through membership program:
youtube.com/channel/UCBkOVp1Cqz4MR0LYR8vKpZg/join
--------------------------------------------------------------------------------------------------
Follow my second channel:
youtube.com/channel/UCGA2TO8ylVqFHpucwn_6Jlw
Follow me on WhatsApp channel:
whatsapp.com/channel/0029VaLeZrfAO7RDoKr7je0l
Follow me on Facebook:
facebook.com/ALLABOUTELECRONICS
Follow me on Instagram:
instagram.com/all_about.electronics
--------------------------------------------------------------------------------------------------
Music Credit: bensound.com
