Del Operator — Study Resources & PYQs
Concept of the del operator and its applications.
- Estimated study time: 30 minutes
Study resources
- Gradient - Khan Academy (by Grant Sanderson of 3Blue1Brown) (Article) — Explains why the del symbol is treated as a vector of partial-derivative operators, before it is applied as gradient, divergence or curl.
- Partial derivatives, gradient, divergence, curl - Khan Academy (Video) — Sequential videos working through the actual computation of grad, div and curl using the del operator.
- Divergence - Khan Academy article (Article) — Animated explanation of divergence as net outflow from a point. This intuition is exactly what makes div E = rho/epsilon and div B = 0 make sense.
- Curl, fluid rotation in three dimensions - Khan Academy article (Article) — Curl explained as rotation of a fluid, with the determinant form of the formula. Directly underpins the two curl equations in Maxwell's set.
- Physical Interpretation of grad, curl, div - University of Alberta (Article) — A concise, exam-friendly writeup of what each operator physically means, including solenoidal and irrotational fields. Good source for the 'physical significance' part of the question, which most stu…
- AskFilo - Del Operator, Gradient, Divergence, Curl (Solved Problems) (Article) — Explains the del/nabla operator and derives gradient, divergence and curl with solved examples (finding div/curl of a vector field).
- Medium - Gradient, Divergence, Curl: Electromagnetics (Part 1) (Article) — Clear conceptual article explaining the physical meaning of gradient, divergence and curl in the context of electromagnetics.
- Lehman College - Lecture 5: Vector Operators: Grad, Div and Curl (PDF) (Article) — University lecture notes (PDF) deriving grad, div, curl in Cartesian coordinates with worked examples.
Del Operator previous year questions
Taught in these subjects
- APPLIED ENGINEERING PHYSICS — BPHT11 · Government College of Engineering and Technology, Jammu
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- Advanced Engineering Physics — BPHT21 · Government College of Engineering and Technology, Jammu
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