The electric potential of a charge distribution is given by V(x, y) = 2xy - x² - y. At which point is the electric field equal to zero?

Name: The electric potential of a charge distribution is given by V(x, y) = 2xy - x 2 - y. At which point is the electric field equal to zero?
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Question

Quizplus · Accepted Answer

The electric field is zero where the gradient of the potential is zero. The partial derivatives are ∂V/∂x = 2y - 2x and ∂V/∂y = 2x - 1. Setting these to zero gives x = 0.5 and y = 0.5.

The Electric Potential of a Charge Distribution Is Given by V(x