Chap 23 SM - Chapter 23 Electrical Potential Conceptual...

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197 Chapter 23 Electrical Potential Conceptual Problems 1 [SSM] A proton is moved to the left in a uniform electric field that points to the right. Is the proton moving in the direction of increasing or decreasing electric potential? Is the electrostatic potential energy of the proton increasing or decreasing? Determine the Concept The proton is moving to a region of higher potential. The proton’s electrostatic potential energy is increasing. 2 An electron is moved to the left in a uniform electric field that points to the right. Is the electron moving in the direction of increasing or decreasing electric potential? Is the electrostatic potential energy of the electron increasing or decreasing? Determine the Concept The electron is moving to a region of higher electric potential. The electron’s electrostatic potential energy is decreasing. 3 If the electric potential is uniform throughout a region of space, what can be said about the electric field in that region? Determine the Concept If V is constant, its gradient is zero; consequently the electric field is zero throughout the region. 4 If V is known at only a single point in space, can r E be found at that point? Explain your answer. Determine the Concept No. E r cannot be determined without knowing V at a continuum of points. 5 •• [SSM] Figure 23-29 shows a point particle that has a positive charge + Q and a metal sphere that has a charge – Q . Sketch the electric field lines and equipotential surfaces for this system of charges.
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Chapter 23 198 Picture the Problem The electric field lines, shown as solid lines, and the equipotential surfaces (intersecting the plane of the paper), shown as dashed lines, are sketched in the adjacent figure. The point charge + Q is the point at the right, and the metal sphere with charge Q is at the left. Near the two charges the equipotential surfaces are spheres, and the field lines are normal to the metal sphere at the sphere’s surface. 6 •• Figure 23-30 shows a point particle that has a negative charge – Q and a metal sphere that has a charge + Q . Sketch the electric field lines and equipotential surfaces for this system of charges. Picture the Problem The electric field lines, shown as solid lines, and the equipotential surfaces (intersecting the plane of the paper), shown as dashed lines, are sketched in the adjacent figure. The point charge + Q is the point at the right, and the metal sphere with charge +Q is at the left. Near the two charges the equipotential surfaces are spheres, and the field lines are normal to the metal sphere at the sphere’s surface. Very far from both charges, the equipotential surfaces and field lines approach those of a point charge 2 Q located at the midpoint. 7 •• Sketch the electric field lines and equipotential surfaces for the region surrounding the charged conductor shown in Figure 23-31, assuming that the conductor has a net positive charge.
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Electric Potential 199 Picture the Problem The equipotential surfaces are shown with dashed lines, the field lines are shown in solid lines.
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Chap 23 SM - Chapter 23 Electrical Potential Conceptual...

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