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The electric potential at a point in space is given by V = -5x + 3y + sqrt(15)*z (in SI units). What is the magnitude of the electric field at any point?
- 3*sqrt(2)
- 4*sqrt(2)
- 5*sqrt(2)
- 7
Correct answer: 7
Solution
Computing partial derivatives: Ex = -(-5) = 5, Ey = -(3) = -3, Ez = -(sqrt(15)). Magnitude = sqrt(25 + 9 + 15) = sqrt(49) = 7 V/m.
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