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Statement of a problem № 682

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The potential of a certain electrostatic field has the form φ = a(x2 + y2) + bz2, where a and b are constants. Find the magnitude and direction of the electric field strength vector. What shape have the equipotential surfaces in the following cases: (a) a > 0, b > 0; (b) a > 0, b < 0?

Solution:
The potential of a certain electrostatic field has the form φ = a(x2 + y2) + bz

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