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https://texercises.com/exercise/superposition-of-uniform-fields/
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Exercise:
Two two-dimensional uniform electric fields given by vecE_| siN/C and vecE_| siN/C are superposed. Determine the net electric field vector its magnitude and the angle it encloses with the y-axis.

Solution:
vecE_textnet vecE_+vecE_ leftarrayc ExF EyF arrayright leftarrayc EaxX+EbxX EayX+EbyX arrayrightsiN/C leftarrayc ExX EyX arrayrightsiN/C E_textnet & absvecE_textnet EF sqrtExX^+EyX^ siN/C EP tanalpha fracE_xE_y rightarrow alpha alF arctanleftfracExXEyXright alPaldP
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Exercise:
Two two-dimensional uniform electric fields given by vecE_| siN/C and vecE_| siN/C are superposed. Determine the net electric field vector its magnitude and the angle it encloses with the y-axis.

Solution:
vecE_textnet vecE_+vecE_ leftarrayc ExF EyF arrayright leftarrayc EaxX+EbxX EayX+EbyX arrayrightsiN/C leftarrayc ExX EyX arrayrightsiN/C E_textnet & absvecE_textnet EF sqrtExX^+EyX^ siN/C EP tanalpha fracE_xE_y rightarrow alpha alF arctanleftfracExXEyXright alPaldP
Contained in these collections:
  1. 10 | 19
  2. 15 | 16

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Branches
Electrostatics
Tags
electric field, electrostatics, homogeneous field, superposition, vector
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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