How Do You Calculate the Electric Field from the Electric Potential V=4x²?

AI Thread Summary
The electric potential is defined as V=4(x²) volts, and the task is to calculate the electric field at the point (1m,0m,2m). The relationship between electric potential and electric field is given by the equation dV = -E·dr, indicating that the electric field is the negative gradient of the potential. To find the electric field, one must compute the gradient of the potential function. The discussion highlights the need for understanding the concept of the gradient in this context. The calculation ultimately leads to determining the electric field from the given potential function.
Kartik.
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The electric potential V at any point (x,y,z) in space is given by V=4(x^2) volts (all in meters). The electric field at the point (1m,0m,2m) is?

-->
dV= - (E.dr),
magnitude of r =sqrt(5),
V at the point will be 4, which => 4=-*integration sign*E.dr
how to solve this?
 
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Do it backwards. The electric field is equal to the negative gradient of the potential. Do you know what "gradient" is?

ehild
 
Definitely :P Thanks.
 
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