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Stokes Theorem Video Lecture | Mathematical Physics for GATE - GATE Physics
FAQs on Stokes Theorem Video Lecture - Mathematical Physics for GATE - GATE Physics
| 1. What is Stokes' Theorem in vector calculus? |  |
Ans. Stokes' Theorem is a fundamental theorem in vector calculus that relates the surface integral of the curl of a vector field over a surface to the line integral of the vector field along the boundary of the surface.
| 2. How is Stokes' Theorem used in physics? | |
Ans. In physics, Stokes' Theorem is commonly used to relate the circulation of a vector field around a closed loop to the flux of the curl of the vector field through the surface enclosed by the loop.
| 3. What are the applications of Stokes' Theorem in electromagnetic theory? | |
Ans. In electromagnetic theory, Stokes' Theorem is used to derive Maxwell's equations, which describe how electric and magnetic fields interact and propagate through space.
| 4. Can Stokes' Theorem be used in fluid dynamics? | |
Ans. Yes, Stokes' Theorem can be used in fluid dynamics to relate the circulation of the velocity field around a closed loop to the flux of the vorticity field through the surface enclosed by the loop.
| 5. How does Stokes' Theorem differ from Gauss' Theorem and the Divergence Theorem? | |
Ans. Stokes' Theorem relates the circulation of a vector field to the flux of its curl through a surface, while Gauss' Theorem relates the flux of a vector field to its divergence over a closed surface, and the Divergence Theorem relates the flux of a vector field to its divergence over a closed volume.
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