Show that electric field is equal …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Sahil Thakur 5 years ago
- 1 answers
Test
Related Questions
Posted by Aniket Mahajan 10 months ago
- 0 answers
Posted by Anterpreet Kaur 1 year, 5 months ago
- 0 answers
Posted by Khushbu Otti 1 year, 5 months ago
- 0 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Yogita Ingle 5 years ago
Consider two points A and B separated by a small distance dx in an electric field.
Since dx is small, the electric field E is assumed to be uniform along AB. The force acting on a unit positive charge at A is equal to E.
Now, the work done in moving a unit positive charge from A to B against the electric field is dW=−E×dx.
The negative sign shows that the work is done against the direction of the field. Since the work done is equal to potential difference dV between A and B then dV=−E×dx or E=−dV/dx
Thus, the electric field at a point is the negative of the potential gradient at that point.
0Thank You