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Electric Fields, Potential Energies, and Currents

This chapter covers topics such as electric fields, potential energies, and currents in circuits. It includes questions related to potential energies, equipotential surfaces, and currents in different circuits.

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Electric Fields, Potential Energies, and Currents

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  1. Chapter 16

  2. The positive charge is the end view of a positively charged glass rod. A negatively charged particle moves in a circular arc around the glass rod. Is the work done on the charged particle by the rod’s electric field positive, negative or zero? • Positive • Negative • Zero

  3. The positive charge is the end view of a positively charged glass rod. A negatively charged particle moves in a circular arc around the glass rod. Is the work done on the charged particle by the rod’s electric field positive, negative or zero? • Positive • Negative • Zero

  4. Rank in order, from largest to smallest, the potential energies Ua to Ud of these four pairs of charges. Each + symbol represents the same amount of charge. • Ua = Ub > Uc = Ud • Ua = Uc > Ub = Ud • Ub = Ud > Ua = Uc • Ud > Ub = Uc > Ua • Ud > Uc > Ub > Ua

  5. Rank in order, from largest to smallest, the potential energies Ua to Ud of these four pairs of charges. Each + symbol represents the same amount of charge. • Ua = Ub > Uc = Ud • Ua = Uc > Ub = Ud • Ub = Ud > Ua = Uc • Ud > Ub = Uc > Ua • Ud > Uc > Ub > Ua

  6. A proton is released from rest at point B, where the potential is 0 V. Afterward, the proton • moves toward A with an increasing speed. • moves toward A with a steady speed. • remains at rest at B. • moves toward C with a steady speed. • moves toward C with an increasing speed.

  7. A proton is released from rest at point B, where the potential is 0 V. Afterward, the proton • moves toward A with an increasing speed. • moves toward A with a steady speed. • remains at rest at B. • moves toward C with a steady speed. • moves toward C with an increasing speed.

  8. Rank in order, from largest to smallest, the potentials Va to Ve at the points a to e. • Va = Vb = Vc = Vd = Ve • Va = Vb > Vc > Vd = Ve • Vd = Ve > Vc > Va = Vb • Vb = Vc = Ve > Va = Vd • Va = Vb = Vd = Ve > Vc

  9. Rank in order, from largest to smallest, the potentials Va to Ve at the points a to e. • Va = Vb = Vc = Vd = Ve • Va = Vb > Vc > Vd = Ve • Vd = Ve > Vc > Va = Vb • Vb = Vc = Ve > Va = Vd • Va = Vb = Vd = Ve > Vc

  10. Rank in order, from largest to smallest, the potential differences ∆V12, ∆V13, and ∆V23 between points 1 and 2, points 1 and 3, and points 2 and 3. • ∆V12 > ∆V13 = ∆V23 • ∆V13 > ∆V12 > ∆V23 • ∆V13 > ∆V23 > ∆V12 • ∆V13 = ∆V23 > ∆V12 • ∆V23 > ∆V12 > ∆V13

  11. Rank in order, from largest to smallest, the potential differences ∆V12, ∆V13, and ∆V23 between points 1 and 2, points 1 and 3, and points 2 and 3. • ∆V12 > ∆V13 = ∆V23 • ∆V13 > ∆V12 > ∆V23 • ∆V13 > ∆V23 > ∆V12 • ∆V13 = ∆V23 > ∆V12 • ∆V23 > ∆V12 > ∆V13

  12. Which potential-energy graph describes this electric field?

  13. Which potential-energy graph describes this electric field?

  14. Which set of equipotential surfaces matches this electric field?

  15. Which set of equipotential surfaces matches this electric field?

  16. Three charged, metal spheres of different radii are connected by a thin metal wire. The potential and electric field at the surface of each sphere are V and E. Which of the following is true? • V1 = V2 = V3 and E1 = E2 = E3 • V1 = V2 = V3 and E1 > E2 > E3 • V1 > V2 > V3 and E1 = E2 = E3 • V1 > V2 > V3 and E1 > E2 > E3 • V3 > V2 > V1 and E1 = E2 = E3

  17. Three charged, metal spheres of different radii are connected by a thin metal wire. The potential and electric field at the surface of each sphere are V and E. Which of the following is true? • V1 = V2 = V3 and E1 = E2 = E3 • V1 = V2 = V3 and E1 > E2 > E3 • V1 > V2 > V3 and E1 = E2 = E3 • V1 > V2 > V3 and E1 > E2 > E3 • V3 > V2 > V1 and E1 = E2 = E3

  18. A wire connects the positive and negative terminals of a battery. Two identical wires connect the positive and negative terminals of an identical battery. Rank in order, from largest to smallest, the currents Ia to Id at points a to d. • Ia =Ib =Ic =Id • Ia =Ib >Ic =Id • Ic =Id >Ia =Ib • Ic =Id >Ia >Ib • Ia >Ib >Ic =Id

  19. A wire connects the positive and negative terminals of a battery. Two identical wires connect the positive and negative terminals of an identical battery. Rank in order, from largest to smallest, the currents Ia to Id at points a to d. • Ia =Ib =Ic =Id • Ia =Ib >Ic =Id • Ic =Id >Ia =Ib • Ic =Id >Ia >Ib • Ia >Ib >Ic =Id

  20. Rank in order, from largest to smallest, the equivalent capacitance (Ceq)a to (Ceq)d of circuits a to d. • (Ceq)a > (Ceq)b = (Ceq)c > (Ceq)d • (Ceq)b > (Ceq)a = (Ceq)d > (Ceq)c • (Ceq)c > (Ceq)a = (Ceq)d > (Ceq)b • (Ceq)d > (Ceq)b = (Ceq)c > (Ceq)a • (Ceq)d > (Ceq)b > (Ceq)a > (Ceq)c

  21. Rank in order, from largest to smallest, the equivalent capacitance (Ceq)a to (Ceq)d of circuits a to d. • (Ceq)a > (Ceq)b = (Ceq)c > (Ceq)d • (Ceq)b > (Ceq)a = (Ceq)d > (Ceq)c • (Ceq)c > (Ceq)a = (Ceq)d > (Ceq)b • (Ceq)d > (Ceq)b = (Ceq)c > (Ceq)a • (Ceq)d > (Ceq)b > (Ceq)a > (Ceq)c

  22. What are the units of potential difference? • Amperes • Potentiometers • Farads • Volts • Henrys

  23. What are the units of potential difference? • Amperes • Potentiometers • Farads • Volts • Henrys

  24. What is the SI unit of capacitance? • Capaciton • Faraday • Hertz • Henry • Exciton

  25. What is the SI unit of capacitance? • Capaciton • Faraday • Hertz • Henry • Exciton

  26. The electric potential inside a capacitor • is constant. • increases linearly from the negative to the positive plate. • decreases linearly from the negative to the positive plate. • decreases inversely with distance from the negative plate. • decreases inversely with the square of the distance from the negative plate.

  27. The electric potential inside a capacitor • is constant. • increases linearly from the negative to the positive plate. • decreases linearly from the negative to the positive plate. • decreases inversely with distance from the negative plate. • decreases inversely with the square of the distance from the negative plate.

  28. The electric field • is always perpendicular to an equipotential surface. • is always tangent to an equipotential surface. • always bisects an equipotential surface. • makes an angle to an equipotential surface that depends on the amount of charge.

  29. The electric field • is always perpendicular to an equipotential surface. • is always tangent to an equipotential surface. • always bisects an equipotential surface. • makes an angle to an equipotential surface that depends on the amount of charge.

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