If the potential in a region is given by the function V = 2 x − y 2 − cos(z), what is the y-component of the electric field at the point P =

Question

If the potential in a region is given by the function V = 2 x − y 2 − cos(z), what is the y-component of the electric field at the point P = (x ′ , y ′ , z ′ )?

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Thu Cúc 6 months 2021-09-04T20:13:41+00:00 1 Answers 0 views 0

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    2021-09-04T20:15:13+00:00

    Answer:

    2y

    Explanation:

    Electric field in terms of Electric potential is given as:

    E = dV/dr(x, y, z)

    Where r(x, y, z) = position in x, y, z plane

    The y component of the Electric field will be:

    Ey = -dV/dy

    Given that

    V = 2x – y² – cos(z)

    dV/dy = -2y

    => E = – (-2y)

    E = 2y

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