Electrostatics. Solution for the question in the attached image please.

Electrostatics is a fascinating area of physics that deals with the study of electric charges at rest. To provide you with a comprehensive understanding, let’s break down the key concepts and then tackle the specific problem you mentioned. Since I can't see the image, I'll outline a general approach to solving electrostatics problems, which you can apply to your specific question.

Fundamental Concepts of Electrostatics

At the core of electrostatics are a few essential principles:

• Charge: There are two types of electric charges: positive and negative. Like charges repel each other, while opposite charges attract.
• Electric Field (E): This is a region around a charged object where other charges experience a force. The strength of the electric field is defined as the force per unit charge.
• Coulomb's Law: This law quantifies the force between two point charges. It states that the force (F) between two charges (q1 and q2) is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance (r) between them: F = k * (|q1 * q2|) / r², where k is Coulomb's constant.
• Electric Potential (V): This is the work done to bring a unit positive charge from infinity to a point in the electric field. It is related to the electric field by the equation V = -∫E·dr.

Steps to Solve Electrostatics Problems

When faced with an electrostatics problem, follow these logical steps:

1. Identify the Charges: Determine the types and magnitudes of the charges involved in the problem.
2. Determine the Configuration: Understand the spatial arrangement of the charges. Are they in a line, a plane, or a three-dimensional space?
3. Calculate the Electric Field: Use Coulomb's Law to find the electric field produced by each charge at the point of interest.
4. Find the Net Electric Field: If there are multiple charges, vectorially add the electric fields to find the net electric field at the point.
5. Calculate Electric Potential: If required, compute the electric potential at the point using the contributions from each charge.
6. Apply Additional Concepts: Depending on the problem, you may need to consider concepts like capacitance, energy stored in the electric field, or forces on charges.

Example Problem

Let’s say you have two charges: +3 µC and -2 µC, separated by a distance of 0.5 m. You want to find the electric field at a point midway between them.

Step-by-Step Solution

1. Identify the Charges: Charge 1 (q1) = +3 µC, Charge 2 (q2) = -2 µC.
2. Distance: The distance between the charges is 0.5 m, so the distance from each charge to the midpoint is 0.25 m.
3. Calculate Electric Fields:
   • Electric field due to q1: E1 = k * |q1| / r² = (8.99 x 10^9 N m²/C²) * (3 x 10^-6 C) / (0.25 m)²
   • Electric field due to q2: E2 = k * |q2| / r² = (8.99 x 10^9 N m²/C²) * (2 x 10^-6 C) / (0.25 m)²
4. Direction of Fields: E1 points away from q1 (to the right), and E2 points towards q2 (to the left).
5. Net Electric Field: Since E1 and E2 are in opposite directions, the net electric field at the midpoint is E_net = E1 - E2.

By plugging in the values and calculating, you would arrive at the net electric field at the midpoint. This method can be adapted to various electrostatic scenarios, whether involving point charges, continuous charge distributions, or complex geometries.

Feel free to apply this structured approach to your specific question, and if you have more details or need clarification on a particular aspect, just let me know!