The electric potential V at any point (x, y, z), all in metres in space is given by V = 4x² volt. The electric field at the point (1,0,2) in volt/metre is:
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The electric potential V at any point (x,y,z), all in metres in space is given by V = 4x² volt. The electric field at the point (1,0,2) in volt/metre is:

G1 Physics · Accepted Answer

Step 1: E⃗ = −∇V = −(∂V/∂x)î since V depends only on x. Step 2: ∂V/∂x = 8x. Step 3: At x = 1, E⃗ = −8î V/m.