The electrical potential in a region of space is given by the expression V (x, y, z) = A (x^2−3y^2 + z^2). Here A is a constant. a) Find the components of the electric field at any point in this region in terms of constant A. b) When a trial load of 1.5 × 10^−6 C moves from the point (x, y, z) = (0, 0, 0.25) m to the center (origin) of the coordinate system, the work done by the electrical force is 6 × 10^−5 J find the value of constant A.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.