# Worksheet: Calculating the Net Electric Field of Multiple Point Charges

In this worksheet, we will practice calculating the resultant electric fields produced by multiple charges and their vectors.

**Q1: **

Two equal sized charged spheres, Sphere A and Sphere B have charges of and respectively. The spheres are separated by a straight-line distance . The net electric field produced by spheres has a null point along at a distance of m from Sphere A. What is the ratio of the magnitude of the charge of Sphere B to that of Sphere A?

- A =
- B =
- C =
- D =
- E =

**Q6: **

Two fixed charges of +30 mC and β15 mC, respectively, are separated horizontally by a distance of 12.0 cm. Four points of interest, , , , and , have positions relative to the fixed charges, as shown in the diagram.

Find the net potential due to the charges at .

Find the net potential due to the charges at .

Find the net potential due to the charges at .

Find the net potential due to the charges at .

**Q7: **

Two charged particles and each has a charge of 2.50 Β΅C. The particles are placed symmetrically along the -axis, each at a distance of 3.84 cm from the origin. Another charged particle with a charge of 4.47 Β΅C and a mass of 13.0 mg is initially held at rest 2.76 cm vertically above the origin and then released. What is the speed of when it is at a point 4.36 cm vertically above the origin?

**Q8: **

What is the electric field vector at the midpoint given that and as shown?