1. Two newly discovered particles \(X\) and \(Y\) have equal mass. The figure shows the trajectories after being fired with the same speed into a charged parallel plate capacitor. From this experiment, it can be deduced that:

 

2. A positive test charge is placed in point \(P\) in the vicinity of an electric dipole. Which diagram shows the net force on the charge?

 

3. A sphere is uniformly charged with a positive electric charge \(Q\). The following plot shows the electric field as a function of the distance \(r\) to the sphere's center. What type of sphere could this be?

 

4. A positive charge \(+q\) is placed at a distance \(d\) from an electrically neutral conducting plane. The positive charge is removed and a second negative charge \(-q\) is placed at the same distance \(d\) from the plane. What kind of forces arise in both scenarios respectively?

5. Two conducting thick-walled spherical shells are placed concentrically. The inner shell has a positive charge \(+Q\), while the outer shell has an opposite charge \(-Q\). Which plot accurately depicts the electric field \(E\) as a function of the distance to the center \(r\)?

6. A parallel plate capacitor has a capacitance \(C\) and has been charged with a voltage \(V\). In order to increase the energy stored, a physics student changes the original setup. The student doubles the voltage and also doubles the distance between the plates. In this case, the energy stored will be:
7. Capacitors \(C_1\) and \(C_2\) are initially discharged and are connected in series to a constant voltage source. What is the relationship between their respective charges \(Q_1\) and \(Q_2\) in the following circuit?

 

8. Two particles of equal charge are moved from point \(A\) to \(B\) in a uniform electric field. The trajectories followed by \(1\) and \(2\) are shown in the following image. Which of the following statements is true?

 

9. A radial electric field \(E=E(r)\), has the following electric potential \(V(r)\). Which of the following plots, accurately describes the electric field as a function of \(r\)?

 

10. A \(-2\text{C}\) electric charge is placed in an electrostatic field with the following radial potential \(V(r)\). The particle is initially placed at \(r=2\text{m}\), it is later moved to \(r=8\text{m}\) and finally to \(r=4\text{m}\). How much work has been applied to the charge?

 

11. Three balls \(A\), \(B\), and \(C\) are made of dielectric materials. Initially balls \(A\) and \(B\) are electrically neutral, while ball \(C\) has a \(3\text{C}\) charge. The balls are shaken together in a metal box and their charges are measured afterward. Ball \(A\) now holds \(3\text{C}\) and ball \(B\) holds \(-2\text{C}\). How much charge does ball \(C\) now hold?
12. Jake is building a parallel plate capacitor using two circular thick copper sheets. He wishes to store a greater amount of electric charge without changing his \(9\text{V}\) battery. Which modification could Jake do to increase the amount of charge stored?
13. A capacitor has an air gap between its plates and is charged with a \(12\text{V}\) battery. The battery is removed and a dielectric material is placed between the plates. A voltmeter is placed in the terminals of the capacitor, the reading in this instrument is:

 

14. Two positive charges are fixed in space. At which point could a negative charge be placed and remain at rest?

 

15. A positive and a negative charge are placed over a table and are held fixed with strings tied to fixed blocks. What is the relationship between the magnitudes of the tensions in both strings?

 

16. An electrically neutral styrofoam ball hangs from a thin insulating thread. A positive and a negatively charged rod are brought near the ball. Which of the following drawings show the results of the experiment?
17. A school student performs an experiment to detect the electric charge of an object. The student places two rods with opposite charges near the hanging object, the following are the results. From this experiment, it can be inferred that:

 

18. A small particle of charge \(Q\) is placed in the center of a cubic box whose upper lid has been removed. What is the electric flux through the box?
19. Four thin circular plates made of aluminum have a radius from \(1-4\text{cm}\) and have been charged with \(1-4\text{C}\) respectively. Which of the plates generate a stronger electric field at a small distance \(d\) from the center of the plates?

 

20. An electron is placed inside a rectangular copper box. The box is placed in a uniform electric field \(\vec{E}\). In what direction will the electric force on the electron point?

 

21. A \(2\text{C}\) particle is moved against a constant electric field \(\vec{E}=10\text{N/C}\), along the green trajectory. How much work has been applied by the field to the particle?

 

22. Three particles of equal positive electric charge \(q\) are placed in a uniform electric field \(\vec{E}\). The particles are moved along three different paths \(A\), \(B\), and \(C\). Which is the correct order for the work done by the electric field along the paths?

 

23. Two discharged conducting spheres are placed on insulating supports and are in contact with each other. A negatively charged rod is placed near the left sphere and the spheres are separated from each other. Which diagram better describes the net charges afterward on each sphere?

 

 
24. Carlos claims that "electric forces are very similar to gravitational forces, both are radial and the direction of the force is always in the same direction as the field". Carlos' statement is:
25. A positive charge is fixed at the end of an insulated spring and a second positive charge is placed at a distance \(d\) from the charge. In this position, the spring's compression is of \(4\text{cm}\). If the second charge is moved to a distance \(d/2\) of the fixed charge, what will the spring's compression be?