(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An electric potential is given in volts by;

[itex]\phi (x,y,z) = 20x - 12y^2 +2yz[/itex],

where x,y and z are measured in metres. Find the magnitude of the electric field[itex]E[/itex]at the point(1,1,3).

2. Relevant equations

[itex]E = -\nabla \phi [/itex]

3. The attempt at a solution

[itex]-\nabla \phi = -1*(\frac{\partial \phi}{\partial x} + \frac{\partial \phi}{\partial y} + \frac{\partial \phi}{\partial z})[/itex]

[itex] = -1*((20)+(24y +2z)+(2y)) = -1*(20+24+6+2) = -52Vm^-1[/itex]

I just wanted to know if I have used the right equation, the process is okay and if there is an occasion I should not use this equation? Thanks!

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# Homework Help: An electric potential is given in volts by

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