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Questions and Answers
Which theorem relates the flux of a vector field through a closed surface to the divergence of the field in the volume enclosed?
Which theorem relates the flux of a vector field through a closed surface to the divergence of the field in the volume enclosed?
- Gauss's Theorem
- Ostrogradsky's Theorem
- The Flux Theorem
- The Divergence Theorem (correct)
In which fields is the divergence theorem usually applied?
In which fields is the divergence theorem usually applied?
- Mechanics and kinematics
- Thermodynamics and optics
- Electrostatics and fluid dynamics (correct)
- Quantum mechanics and relativity
In how many dimensions does the divergence theorem usually apply?
In how many dimensions does the divergence theorem usually apply?
- Two dimensions
- One dimension
- Any number of dimensions
- Three dimensions (correct)
What does the divergence theorem state about the sources and sinks of a vector field in a region?
What does the divergence theorem state about the sources and sinks of a vector field in a region?
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What is the equivalent of the divergence theorem in one dimension?
What is the equivalent of the divergence theorem in one dimension?
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