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Prove that electric field lines are …

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Prove that electric field lines are perpendicular to equipotential surface?

    • Posted by Yash Garg 6 years, 4 months ago

    CBSE > Class 12 > Physics
    • 1 answers

    Prashant Dubey 6 years, 4 months ago

    Consider a charge 'q' is placed at a point A on an equipotential surface where electric field intensity is E . Then , electric force on q will be- F=qE Work done to displace the charge through small amount (dr) is- dw=Fdr=qEdr=qEdrcosA. But dw=0 So, qEdrcosA=0 Here, q#0;E#0;dr#0. Hence, cosA=0 Then, A=90 It means that direction of vector E is perpendicular to the surface at any point .

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