- #1

jlmccart03

- 175

- 9

## Homework Statement

Two charged rods, each with net charge -Q

_{0}are held in place as shown in the top view diagram below.

a. A small test charge -q

_{0}travels from point X to point Y along the circular arc shown.

i. Draw an arrow on the diagram at each point to show the direction of the electric force on the test charge at that point. Explain why you drew the arrows as you did.

ii. Is the work done on the charge by the electric field positive, negative, or zero? Explain.

iii.Is the electric potential difference ΔV

_{x→y}positive, negative, or zero? Explain.

b. The test charge is launched from point X with an initial speed v

_{0}and is observed to pass through point Y. Is the speed of the test charge at point Y grater than, less than, or equal to v

_{0}? Explain.

## Homework Equations

W = -ΔVq

ΔV = V

_{f}-V

_{i}

Vector addition

## The Attempt at a Solution

For the first part (i) as shown in the diagram I drew the arrows based on the two forces and did vector addition to get the resulting vector.

For the second part (ii) I say it is negative work since you are moving the charge in a direction it wants to go so it is negative work done.

For the third part (iii) I really don't know what I am supposed to look at here besides that the electric potential must be positive (possibly) I really don't understand how to look at a diagram and figure this piece out.

The final part (b) I say the speed is greater than the speed v

_{0}since the charge is going where it wants to so it has a force to go that direction increasing its acceleration.