Charges of [tex]$+2 \mu C$[/tex] and [tex]$+3 \mu C$[/tex] are 4 mm from each other. Raina's group draws four diagrams trying to represent the electrical force between the charges.

Which diagram is correct?

A. W
B. X
C. Y
D. Z



Answer :

To determine which diagram correctly represents the electrical force between two charges of [tex]\( +2\ \mu C \)[/tex] and [tex]\( +3\ \mu C \)[/tex], we need to keep in mind the following principles:

1. Nature of the Forces: Like charges repel each other. Since both charges are positive ( [tex]\( +2\ \mu C \)[/tex] and [tex]\( +3\ \mu C \)[/tex] ), the force between them will be repulsive. This means that each charge will experience a force pushing it away from the other charge.

2. Direction of Forces: The repulsive force will act along the line joining the two charges, in opposite directions.

Let's examine each diagram based on these principles.

- Diagram W: If the forces shown are pointing towards each other, this diagram is incorrect because it would suggest an attractive force, which is not the case here.

- Diagram X: If the forces are pointing away from each other along the line joining the charges, this is a possible correct representation because it shows the repulsion correctly.

- Diagram Y: If the forces are shown perpendicular to the line joining the charges, this is incorrect because electric forces act along the line joining the charges.

- Diagram Z: Similarly, if the forces shown are pointing towards any other direction that does not align with the line joining the charges directly, this would also be incorrect.

In conclusion, the correct diagram (from the provided options) would be the one where the forces are represented as pointing directly away from each other along the line joining the two charges. This is diagram X.