The electric potential in space is .

PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

The electric potential in space is V(x,y,z)=A(xy+yz+zx)V(x,y,z)=A(xy+yz+zx). (1) Write the dimensional formula of AA. (2) Find the expression for the electric field. (3) If A=10 V m−2A=10\,\text{V m}^{-2}, find the magnitude of the electric field at (1 m,1 m,1 m)(1\,\text{m},1\,\text{m},1\,\text{m}).

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