# Worksheet: Calculating the Net Electrostatic Force from Multiple Charges

In this worksheet, we will practice calculating the net electrostatic force produced by multiple charged particles in a given arrangement.

**Q3: **

Two charges µC and µC are fixed 1.00 m apart, with the µC charge to the right of the µC. The resultant force produced on a nC charge by the fixed charges can be described by taking positive horizontal force magnitude as being to the right and positive vertical force magnitude as being upward.

Find the net force halfway between the two fixed charges.

- A N
- B N
- C N
- D N
- E N

Find the net force 0.500 m to the left of the µC charge.

- A N
- B N
- C N
- D N
- E N

Find the net force 0.500 m above the µC charge in a direction perpendicular to the line joining the two fixed charges.

- A N
- B N
- C N
- D N
- E N

**Q12: **

Three charges are placed at the corners of a parallelogram as shown in the diagram. The parallelogram’s horizontal sides are 2.00 m in length, its diagonal sides are 1.00 m in height and angled at , and the charges are exact multiples of . The point corresponds to the unoccupied upper right-hand corner of the parallelogram.

What is the magnitude of the electric field at ?

- A N/C
- B N/C
- C N/C
- D N/C
- E N/C

If a test charge of 4.0 µC is placed at , what is the magnitude of the force on the charge?

**Q13: **

Three charges are placed at three of the corners of a square, as shown in the diagram. The square’s side length and the charges are exact multiples of . The point corresponds to the unoccupied lower right-hand corner of the square.

What is the electric field vector at the point ?

- A N/C
- B N/C
- C N/C
- D N/C
- E N/C

If a test charge of 2.0 µC is placed at the point , what is the force vector at ?

- A N
- B N
- C N
- D N
- E N