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CBSE Class 12-science Answered

if the potential in the region of space near the point (-2,4,6)m is V=80x²+60y² volt what are the three components of the electric field at that point
question image
Asked by tanvitomar14 | 30 Aug, 2020, 12:15: PM
answered-by-expert Expert Answer
E subscript x equals fraction numerator negative partial differential V over denominator partial differential x end fraction semicolon E subscript y equals fraction numerator negative partial differential V over denominator partial differential y end fraction semicolon E subscript Z equals fraction numerator negative partial differential V over denominator partial differential z end fraction
E subscript x equals fraction numerator negative partial differential left parenthesis 80 x squared plus 60 y squared right parenthesis over denominator partial differential x end fraction
E subscript x equals negative 160 x
E subscript x equals negative 160 left parenthesis negative 2 right parenthesis
E subscript x equals 320 V divided by m
S i m i l a r l y
E subscript y equals negative 120 left parenthesis 4 right parenthesis
E subscript y equals negative 480 V divided by m
E subscript Z equals fraction numerator negative partial differential V over denominator partial differential z end fraction equals 0
These are the three components of the electric field at (-2m,4m,6m)
Answered by Utkarsh Lokhande | 30 Aug, 2020, 10:51: PM
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