Physics · Electromagnetic Theory
Which of the following mathematical expressions correctly represents the curl of a vector field H in the cylindrical coordinate system?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∇ × H in Cartesian coordinate system
- 2[ &partial;Hz&partial;y - &partial;Hy&partial;z ] ax + [ &partial;Hx&partial;z - &partial;Hz&partial;x ] ay
- 31r [ &partial;Hz&partial;φ - &partial;Hφ&partial;z ] ar + [ &partial;Hr&partial;z - &partial;Hz&partial;r ] aφ + 1r [ &partial;(r Hφ)&partial;r - &partial;Hr&partial;φ ] az✓
- 41r sin θ [ 1r &partial;Hz&partial;φ - &partial;Hφ&partial;z ] ar
Correct answer
1r [ &partial;Hz&partial;φ - &partial;Hφ&partial;z ] ar + [ &partial;Hr&partial;z - &partial;Hz&partial;r ] aφ + 1r [ &partial;(r Hφ)&partial;r - &partial;Hr&partial;φ ] az
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