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The image you uploaded shows a physics problem related to electric charges on a line. The question appears to ask for determining where a test charge should be placed so that the net electric force acting on it is zero. 

This kind of problem involves the principle of superposition, which states that the total electric force on a test charge is the vector sum of the forces exerted by individual charges. Let's break this down into steps based on the charges shown:

### Step-by-Step Calculation Process:

1. **Identify Charges and Distances:**
   - There are several charge configurations. The question likely asks to find a point on the line between or around the charges where the test charge would experience zero net force.
   - The charges in the diagrams include positive and negative values, denoted as \(+q\), \(-q\), \(-2q\), etc.

2. **Electric Force Formula:**
   - The electric force \(F\) between two charges \(q_1\) and \(q_2\) separated by a distance \(r\) is given by Coulomb’s law:
     \[
     F = k \frac{|q_1 q_2|}{r^2}
     \]
     where \(k\) is Coulomb's constant, \(q_1\) and \(q_2\) are the magnitudes of the charges, and \(r\) is the distance between the charges.

3. **Find the Zero-Force Point:**
   - To find the point where the forces cancel out, you would set the net force exerted by the charges on a test charge equal to zero. For instance, if you're looking between two charges, you need to solve the equation:
     \[
     F_1 = F_2
     \]
     where \(F_1\) is the force from one charge and \(F_2\) is the force from the other charge.

4. **Sign of Charges and Direction:**
   - The direction of the electric force depends on the sign of the charges. Like charges repel, and opposite charges attract.
   - For example, if the test charge is positive, it will experience a repulsive force from other positive charges and an attractive force from negative charges.

5. **Solving for Distance:**
   - After setting up the equation for the forces, solve for the distance \(r\) where the forces cancel each other out. The distance will depend on the magnitudes of the charges and their positions relative to the test charge.

### Next Steps:
Please provide more information, such as which specific diagram you're referring to, or whether all the configurations should be considered for solving. This will help clarify the exact nature of the calculation.

Do you want further details or have any specific questions? Here are five related questions to explore:

1. How does the magnitude of the charge affect the position of the zero-force point?
2. What happens if the test charge is placed on one side of all the charges?
3. How do we handle multiple charges acting in different directions?
4. What if the charges are not aligned symmetrically—how does this affect the solution?
5. How does the distance between charges affect the result?

**Tip:** When dealing with multiple charges, always carefully analyze the directions of the forces on the test charge.

Learn how to calculate the position on a line where the electric forces between multiple charges cancel out. This problem involves Coulomb's Law and the principle of superposition. Suitable for high school students in Grades 10-12.

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