12th Class Physics Electrostatics & Capacitance Question Bank Case Based (MCQs) - Electric Potential and Capacitance

  • question_answer
    Directions: (11-15)
    Potential of Two Point Charges
    The potential at any observation point P of a static electric field is defined as the work done by the external agent (or negative of work done by electrostatic field) in slowly bringing a unit positive point charge from infinity to the observation point. Figure shows the potential variation along the line of charges. Two point charges \[{{Q}_{1}}\]and \[{{Q}_{2}}\]lie along a line at a distance from each other.
    At which of the points 1, 2 and 3 is the electric field zero?

    A) 1

    B) 2

    C) 3

    D) Both [a] and [b]

    Correct Answer: C

    Solution :

    As\[\frac{-dV}{dr}={{E}_{r}}\], the negative of the slope of V versus r curve represents the component of electric field along r. Slope of curve is zero only at point 3. Therefore, the electric field vector is zero at point 3.


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