Hi, I am having trouble answering the following physics question. The following

Question

Hi,

I am having trouble answering the following physics question.

The following figure shows a graph of V versus x in a region of space. The potential is independent of y and z.

a)

What is Ex at x=?2m?

Express your answer to two significant figures and include the appropriate units.

b)

What is Ex at x=0m?

Express your answer to two significant figures and include the appropriate units.

c)

What is Ex at x=2m?

Express your answer to two significant figures and include the appropriate units.

Any help you can provide would be very much appreciated.

The following figure shows a graph of V versus x in a region of space. The potential is independent of y and z. What is Ex at x=?2m? Express your answer to two significant figures and include the appropriate units.What is Ex at x=0m? Express your answer to two significant figures and include the appropriate units. What is Ex at x=2m? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Electric Field is defined as the derivative of voltage.

Therefore,

Ex = dV/dx

(a) Ex at x = -2m is slope of V curve at x = -2

Thus, Ex = (0-(-10))/(-3-(-1)) = -5V/m

(b) Ex at x = 0m is slope of V curve at x = 0

Thus, Ex = (10-(-10))/(1-(-1)) = 10V/m

(c) Ex at x = 2m is slope of V curve at x = 2

Thus, Ex = (10-0)/(1-3) = -5V/m

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