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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. AV = Ax²y? + 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.

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. AV = Ax²y? + 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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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.
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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