Electric Field As Derivative of Potential Video Lessons

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Problem: In a certain region of space, the electric potential is V(x,y,z) = Axy - Bx^2 + Cy , where A, B, and C are positive constants.a) Calculate the x-component of the electric field.Express your answer in terms of the given quantities.b) Calculate the y-component of the electric field.Express your answer in terms of the given quantities.c) Calculate the z-component of the electric field.Express your answer in terms of the given quantities.d) At which point is the electric field equal to zero?

FREE Expert Solution

The different components of the electric field:

Ex=-VxEy=-VyEz=-Vz

a)

Let's use the first equation from the list above.

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Problem Details

In a certain region of space, the electric potential is V(x,y,z) = Axy - Bx^2 + Cy , where A, B, and C are positive constants.

a) Calculate the x-component of the electric field.

Express your answer in terms of the given quantities.

b) Calculate the y-component of the electric field.

Express your answer in terms of the given quantities.

c) Calculate the z-component of the electric field.

Express your answer in terms of the given quantities.

d) At which point is the electric field equal to zero?

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