In a Certain Region, the Electric Potential Due to a Charge

question 6

Multiple Choice

In a certain region, the electric potential due to a charge distribution is given by the equation V(x,y,z) = 3x²y² + yz³ - 2z³x, where x, y, and z are measured in meters and V is in volts. Calculate the magnitude of the electric field vector at the position (x,y,z) = (1.0, 1.0, 1.0) .

• A) 4.3 V/m
• B) 2.0 V/m
• C) -8.1 V/m
• D) 8.6 V/m
• E) 74 V/m

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