Problem: Two points, point 1 and point 2, are located inside a region with an electric field pointing to the left, as shown in the figure. Part (a) If a proton is moved from point 1 to point 2, how will the potential energy of the charge-field system change? How will the potential change?Part (b) If, instead, an electron is moved from point 1 to point 2, how will the potential energy of the charge-field system change? How will the potential change?

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FREE Expert Solution

Potential energy:

U=qV

Let's consider the diagram:

Part (a)

Points 2 and 2' are at equal potential since they lie on an equipotential surface.

The potential difference between two points is given by:

 V(r)=-r1r2E·dr=-r1r2E·drcos(180°)=Er1r2dr=E(r2-r1)

This shows that the potential is increasing.

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Problem Details

Two points, point 1 and point 2, are located inside a region with an electric field pointing to the left, as shown in the figure. 


Part (a) If a proton is moved from point 1 to point 2, how will the potential energy of the charge-field system change? How will the potential change?

Part (b) If, instead, an electron is moved from point 1 to point 2, how will the potential energy of the charge-field system change? How will the potential change?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Potential concept. You can view video lessons to learn Electric Potential. Or if you need more Electric Potential practice, you can also practice Electric Potential practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Nixon's class at SF.