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Question:

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

8 along positive X-axis

16 along negative X-axis

16 along positive X-axis

8 along negative X-axis

Solution:

→E=−dV/dx^i=∇^i volt/meter
→E(1,0,2)=∇^iV/m.