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

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 =

Q2:

Point charges and are placed 1.0 m apart. The point is at the midpoint of the two chargesβ positions.

What is the magnitude of the electric field produced by the charges at ?

• A N/C
• B N/C
• C N/C
• D N/C
• E N/C

What magnitude force would act on a charge if it was located at ?

Q3:

Two fixed point charges each have magnitudes of C. The charges are located on the -axis at the positions and . A charge is placed at the origin and the resultant electric field of the three charges is zero at a point on the -axis where . Find the magnitude of .

• A C
• B C
• C C
• D C
• E C

Q4:

Point charges are placed at the four corners of a rectangle as shown. The chargesβ magnitudes are: What is the electric field in the plane of the rectangle at the point ?