27: Problem 27.47

INTRO:
The three parallel planes of charge shown in the figure (Figure 1) have surface charge densities −1/2 η, η, and −1/2 η.

Figure 1

-----------------------------------------------------------------------------------------------------
PART A:
Find the magnitude of the electric field in region 1.

SOLUTION:
<< explanation to be added >>
0 η/ε₀

-----------------------------------------------------------------------------------------------------
PART B:

What is the direction of the electric field in region 1?

• Upward
• Downward
• The field is zero

SOLUTION:
<< explanation to be added >>
The field is zero

-----------------------------------------------------------------------------------------------------

PART C:

Find the magnitude of the electric field in region 2.

SOLUTION:

<< explanation to be added >>

0.500 η/ε₀

-----------------------------------------------------------------------------------------------------

PART D:

What is the direction of the electric field in region 2?

• Upward
• Downward
• The field is zero

SOLUTION:

<< explanation to be added >>

Upward

-----------------------------------------------------------------------------------------------------

PART E:

Find the magnitude of the electric field in region 3.

SOLUTION:

<< explanation to be added >>

0.500 η/ε₀

-----------------------------------------------------------------------------------------------------

PART F:

What is the direction of the electric field in region 3?

• Upward
• Downward
• The field is zero

SOLUTION:

<< explanation to be added >>

Downward

-----------------------------------------------------------------------------------------------------

PART G:

Find the magnitude of the electric field in region 4.

SOLUTION:

<< explanation to be added >>

0 η/ε₀

-----------------------------------------------------------------------------------------------------

PART H:

What is the direction of the electric field in region 4?

• Upward
• Downward
• The field is zero

SOLUTION:

<< explanation to be added >>

The field is zero

-----------------------------------------------------------------------------------------------------