Electric Field Video Lessons

Concept

# Problem: Two 10 cm -long thin glass rods uniformly charged to +15nC are placed side by side, 4.0 cm apart. What are the electric field strengths E1, E2, and E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm to the right of the rod on the left, along the line connecting the midpoints of the two rods?Part ASpecify the electric field strength E1.Express your answer to two significant figures and include the appropriate units.Part BSpecify the electric field strength E2.Express your answer to two significant figures and include the appropriate units.Part CSpecify the electric field strength E3.Express your answer to two significant figures and include the appropriate units.

###### FREE Expert Solution

In this problem, we need to use the equation for the Electric field:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{k}\mathbf{q}}{{\mathbf{r}}^{\mathbf{2}}}}$, where k is Coulomb's constant, is the charge, and is the distance from the point charge.

In this problem, the length of the rod, L = 10cm = 10 × 10-2 m

The charge on each glass rod is, q1 = q2 = 15 × 10-9 C

The distance between the two rods is x = 4.0 cm = 4.0 × 10-2 m

In this case, the electric field strength at point P located at a distance x from the center of ros along its perpendicular bisector is expressed as:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{k}}\frac{\mathbf{q}}{\mathbf{x}\sqrt{{\mathbf{x}}^{\mathbf{2}}\mathbf{+}{\mathbf{\left(}\frac{\mathbf{L}}{\mathbf{2}}\mathbf{\right)}}^{\mathbf{2}}}}}$

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###### Problem Details

Two 10 cm -long thin glass rods uniformly charged to +15nC are placed side by side, 4.0 cm apart. What are the electric field strengths E1, E2, and E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm to the right of the rod on the left, along the line connecting the midpoints of the two rods?

Part A

Specify the electric field strength E1.

Express your answer to two significant figures and include the appropriate units.

Part B

Specify the electric field strength E2.

Express your answer to two significant figures and include the appropriate units.

Part C

Specify the electric field strength E3.

Express your answer to two significant figures and include the appropriate units.