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As you saw in the Electric Potential Lab, you can relate the Electric Field of a system
to a map of the potential. Mathematically we can do this as well when we have a
function for the Electric Potential Difference in all space. There is a function below
for the Electric Potential Difference. The letters A, B and C are constant values
shown below the function.
Δν
AV = Ax²y² + Bxz³ – Cxyz?
A = 0.70 V/m4
B = -2.50 V/m4
C = 4.1 V/m4
For this problem, you need to find the component of the Electric Field in the x
direction at a position (1.30 m, 7.00 m, -6.20 m). Be careful that you do the math in
the correct order (i.e. - don't plug in the position first).
Make sure to put units with your answer and include a negative sign if your answer
gives you one. Make sure to give your answer with an appropriate number of
significant figures.
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Transcribed Image Text:As you saw in the Electric Potential Lab, you can relate the Electric Field of a system to a map of the potential. Mathematically we can do this as well when we have a function for the Electric Potential Difference in all space. There is a function below for the Electric Potential Difference. The letters A, B and C are constant values shown below the function. Δν AV = Ax²y² + Bxz³ – Cxyz? A = 0.70 V/m4 B = -2.50 V/m4 C = 4.1 V/m4 For this problem, you need to find the component of the Electric Field in the x direction at a position (1.30 m, 7.00 m, -6.20 m). Be careful that you do the math in the correct order (i.e. - don't plug in the position first). Make sure to put units with your answer and include a negative sign if your answer gives you one. Make sure to give your answer with an appropriate number of significant figures.
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