Part A The electric potential along the x -axis is V = 200 x 2 V , where x is in

Question

Part A The electric potential along the x-axis is V =200x2V, where x is in meters. What is Ex at x =0m? Express your answer as an integer and include the appropriate units.
Part B What is Ex at x =3m? Express your answer to three significant figures and include the appropriate units. Part A The electric potential along the x-axis is V =200x2V, where x is in meters. What is Ex at x =0m? Express your answer as an integer and include the appropriate units.
Part B What is Ex at x =3m? Express your answer to three significant figures and include the appropriate units. Part B What is Ex at x =3m? Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

V =200*x^2 V

The electric field is the negative gradient of the potential; that is, field lines point from positions of high potential to points of low potential. The more rapidly the voltage changes the stronger the electric field in that region.

E = -(dV/dx), where E is the electric field strength, V is the electric potential, and x represents displacement.

Derivative is

E(x) = -2*200x V/m

substitute the x by 0 and 3 m

E (0 m) = 0 V/m

E (3 m) = -2*200*3=-1200 V/m

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