The electric potential V at any point (x, y, z) in space is given by V = x²y - y²z³ + 4. The electric field E⃗ at that point is:
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The electric potential V at any point (x,y,z) in space is given by V = x²y − y²z³ + 4. The electric field E⃗ at that point is:

G1 Physics · Accepted Answer

Step 1: Electric field E⃗ = −∇V. Step 2: ∂V/∂x = 2xy; ∂V/∂y = x² − 2yz³; ∂V/∂z = −3y²z². Step 3: E⃗ = −2xyî + (−x² + 2yz³)ĵ + 3y²z²k̂.