# Problem: Two 10-cm-diameter charged rings face each other, 29 cm apart. The left ring is charged to -27 nC and the right ring is charged to +27 nC . 1. What is the magnitude of the electric field E at the midpoint between the two rings? Express your answer to two significant figures and include the appropriate units.2. What is the direction of the electric field E⃗  at the midpoint between the two rings?a. To the right ring. b. To the left ring. c. Parallel to the plane of the rings. 3. What is the magnitude of the force F⃗  on a -1.0 nC charge placed at the midpoint? Express your answer to two significant figures and include the appropriate units.4. What is the direction of the force F⃗  on a -1.0 nC charge placed at the midpoint?a. Parallel to the plane of the rings. b. To the left ring. c. To the right ring

###### FREE Expert Solution

This problem involves the electric field along the axis passing through the center of a ring.

The electric field is given by:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{k}\mathbf{Q}\mathbf{x}}{{\mathbf{\left(}\mathbf{x}\mathbf{2}\mathbf{+}\mathbf{a}\mathbf{2}\mathbf{\right)}}^{\mathbf{\left(}\mathbf{3}\mathbf{/}\mathbf{2}\mathbf{\right)}}}}$x is the distance from the ring, a is the radius of the ring.

80% (361 ratings) ###### Problem Details

Two 10-cm-diameter charged rings face each other, 29 cm apart.

The left ring is charged to -27 nC and the right ring is charged to +27 nC .

1. What is the magnitude of the electric field E at the midpoint between the two rings?

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

2. What is the direction of the electric field E⃗  at the midpoint between the two rings?

a. To the right ring.

b. To the left ring.

c. Parallel to the plane of the rings.

3. What is the magnitude of the force F⃗  on a -1.0 nC charge placed at the midpoint?

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

4. What is the direction of the force F⃗  on a -1.0 nC charge placed at the midpoint?

a. Parallel to the plane of the rings.

b. To the left ring.

c. To the right ring

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Fields with Calculus concept. You can view video lessons to learn Electric Fields with Calculus. Or if you need more Electric Fields with Calculus practice, you can also practice Electric Fields with Calculus practice problems.

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Based on our data, we think this problem is relevant for Professor Constantin's class at JMU.