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The electric field intensity is the negative gradient of the electric potential. State True/False.(a) True(b) FalseThe question was posed to me in class test.My enquiry is from Relation of E,D,V in chapter Electrostatic Fields of Electromagnetic Theory

Answer» CORRECT CHOICE is (a) True

Best explanation: V = -∫E.dl is the integral form. On DIFFERENTIATING both sides, we get E = -Grad (V). Thus the electric field intensity is the negative GRADIENT of the electric potential.


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