# Worksheet: Uniform Electric Field

In this worksheet, we will practice calculating forces exerted on charges by uniform electric fields and describing charge distributions producing such fields.

Q1:

Two thin parallel conducting plates are placed 2.0 cm apart. Each plate has sides of lengths 2.0 cm. One plate carries a net charge of µC and the other plate carries a net charge of µC.

What is the charge density on the inside surface of each plate?

What is the magnitude of the electric field between the plates?

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

Q2:

Two parallel plates with sides of length 10 cm are separated by 1.5 mm. Both plates are given charges of magnitude C, one plate positively charged and the other negatively charged. What is the magnitude of the electric field at the center of the region between the plates?

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

Q3:

The figure shows a small sphere of mass 0.25 g that carries a charge of C. The sphere is attached to one end of a very thin silk string that is 5.0 cm long. The other end of the string is attached to a large vertical conducting plate that has a charge density of C/m2. What is the angle that the string makes with the vertical?

Q4:

Two aluminum foil squares of side length 10 cm and thickness of 0.10 mm face each other. The squares a separated by 5.0 mm. One of the foils has a charge of +30 µC and the other has a charge of µC.

Find the charge density for the surfaces of the foil squares that are facing toward each other.

• A C/m2
• B C/m2
• C C/m2
• D C/m2
• E C/m2

Find the charge density for the surfaces of the foil squares that are facing away from each other.

• A C/m2
• B C/m2
• C C/m2
• D C/m2
• E C/m2

Find the magnitude of the electric field between the plates near the centers of the foil squares, assuming planar symmetry.

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