To determine which diagram correctly represents the electrical force between the charges, let's analyze the given scenario with the two positive charges:
### Step-by-Step Solution:
1. Given Charges and Distance:
- Charge 1 ([tex]\( q_1 \)[/tex]) = [tex]\( +2 \mu C \)[/tex] (microCoulombs)
- Charge 2 ([tex]\( q_2 \)[/tex]) = [tex]\( +3 \mu C \)[/tex] (microCoulombs)
- Distance between the charges ([tex]\( r \)[/tex]) = [tex]\( 4 mm \)[/tex]
2. Nature of Charges:
- Both charges are positive.
- Like charges (both positive in this case) repel each other.
3. Direction of Electrical Force:
- Since both charges are positive, the force between them will be repulsive.
- This means each charge will exert a force on the other in the direction that pushes them apart.
4. Repulsive Force Example:
Consider two charges placed along a straight line. The force on:
- Charge 1 ([tex]\( +2 \mu C \)[/tex]) will be directed away from Charge 2.
- Charge 2 ([tex]\( +3 \mu C \)[/tex]) will be directed away from Charge 1.
### Representation of Forces in Diagrams:
Given that the forces are repulsive, an accurate diagram should show:
- Charge [tex]\( +2 \mu C \)[/tex] experiencing a force directed away from Charge [tex]\( +3 \mu C \)[/tex].
- Charge [tex]\( +3 \mu C \)[/tex] experiencing a force directed away from Charge [tex]\( +2 \mu C \)[/tex].
### Choosing the Correct Diagram:
- Diagram W:
If it shows forces that don't follow the above description, it is incorrect.
- Diagram X:
If it shows forces pointing towards each other, it is incorrect.
- Diagram Y:
If it shows the forces acting along the straight line and directed away from each other, it could be correct.
- Diagram Z:
If it also follows a similar correct representation as Diagram Y, it might be another correct representation.
Conclusion:
The correct diagram should clearly demonstrate that both charges are repelling each other, with the forces pointed away from each other along the line joining the two charges. If you find the diagram that correctly shows this repulsive behavior, that will be the correct one. Based on the given information, Diagram Y or any figure accurately depicting this repulsion is the correct choice.
