(Solved): Tutorial II: Each of the diagrams below shows two charged objects that are placed at two of the cor ...

Tutorial II: Each of the diagrams below shows two charged objects that are placed at two of the corners of an equilateral triangle. Recall that an equilateral triangle is one with three equal sides. Three locations in space are also labeled. Point $\mathrm{A}$ is located halfway between the two charges. Point $\mathrm{B}$ is located at the third corner of the equilateral triangle. Point $\mathrm{C}$ is located below the lower charge, with the lower charge at midpoint between points $A$ and $C$. $\ddot{\mathrm{C}}$ 1. What is the sign of the total electric potential by the charges at each of the three points, A, B, and $\mathrm{C}$ ? 2. Rank the absolute values of the electric potentials at the three points from largest to smallest. 4. What is the direction of the total electric field by the two charges at each of the three points, A, $B$, and $C$ ? 3. Rank the absolute values of the electric fields at the three points from largest to smallest. The diagram below shows four charges placed at the four corners of a square. Two of the charges are positive and two are negative, but all are the same size. Also shown are five locations in space labeled A through E. 1. On the diagram, draw an arrow that indicates the direction of the electric field at each of the five locations. Your diagram should include the intermediate steps needed to arrive at each answer. 2. Which is larger in mag itude, the electric field at $\mathrm{A}$ or the electric field at B? Explain your reasoning. 3. What is the sign of the electric potential at each of the five points? Explain. 4. Rank the five electric potentials according to size from largest to smallest. 5. Suppose that a fifth (negative) charge is moved from point A to point D. Is the work by the original four charges on the fifth charge positive, negative, or zero? Explain. 6. Would your answer to the previous question change if the fitth charge passed through point B on its path from point $A$ to point $D$ ? The diagram at right shows two charges $q_1$ and $q_2$, and three locations in space, points $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$. The signs and sizes of the two charges are unknown. The electric potential at point $A$ is positive and the electrie potential at point $B$ is negative. 1. What are the signs of $q_1$ and $q_2$ ? Explain. 2. Which charge is larger, $q_1$ and $q_2$ ? Explain. 3. What is the sign of the potential at point C? Explain. The diagram at right shows three charges $q_1,q_2$, and $q_3$ that are located at the vertices of an equilateral triangle. Also shown are three points $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$. Point $\mathrm{B}$ is at the center of the triangle. Points $\mathrm{A}$ and $\mathrm{C}$ are located at the midpoint of two of the sides. The sign and sizes of the three charges are unknown. The electric potential at point $\mathrm{B}$ is zero and the electric field at point $\mathrm{C}$ is directed straight southward. 4. What are the signs of three charges? Explain. A $B?$ $A?$