JEE Main & Advanced Physics Electrostatics & Capacitance JEE PYQ-Electrostatics and Capacitance

  • question_answer
    Assume that an electric field \[\vec{E}=30{{x}^{2}}\hat{i}\]exists in space. Then the potential difference \[{{V}_{A}}-{{V}_{O}},\]where \[{{\text{V}}_{\text{O}}}\]is the potential at the origin and \[{{\text{V}}_{\text{A}}}\] the potential at x = 2 m is: [JEE MAIN 2014]

    A) 80 J     

    B) 80 J

    C) 120 J

    D) −120 J

    Correct Answer: A

    Solution :

    [a] \[\vec{E}=30{{x}^{2}}\hat{i}\] \[{{V}_{A}}-{{V}_{B}}=-\int\limits_{0}^{2}{30{{x}^{2}}.dx}=-80J\]


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