To determine the direction of the net force on the charge q for each arrangement, we can use the principle of Coulomb's Law, which states that the force between two charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. The force is attractive for opposite charges and repulsive for like charges.
Let's analyze each arrangement:
1. +2C -q
+5C
Since +2C and -q are like charges (both positive), the net force will be repulsive between them. The +5C charge will also exert a repulsive force on the -q charge. The net force will be to the right.
2. +q +5C
+5C
The +q and +5C are like charges (both positive), so they will exert a repulsive force on each other. The net force on the +q charge will be to the left.
3. -q -1C
+5C
The -q and -1C are like charges (both negative), so they will exert a repulsive force on each other. The +5C charge will also exert a repulsive force on the -q charge. The net force will be to the right.
4. -3C -q
+3C
The -3C and -q are like charges (both negative), so they will exert a repulsive force on each other. The +3C charge will also exert a repulsive force on the -q charge. The net force will be to the right.
5. -4C -1C
-q +1C
+4C
The -4C and -1C are like charges (both negative), so they will exert a repulsive force on each other. The -q and +1C are unlike charges (one negative, one positive), so they will exert an attractive force on each other. The +4C charge will exert a repulsive force on the -q charge. The net force will be to the right.
6. +4C +1C
-q +2C
The +4C and +1C are like charges (both positive), so they will exert a repulsive force on each other. The -q and +2C are unlike charges (one negative, one positive), so they will exert an attractive force on each other. The net force on the +q charge will be to the left.
7. +5C +q
+5C
The +5C and +q are like charges (both positive), so they will exert a repulsive force on each other. The net force on the +q charge will be to the left.
8. +2C -2C
+q
The +2C and -2C are unlike charges (one positive, one negative), so they will exert an attractive force on each other. There is only one charge, +q, which will experience an attractive force towards the center.
Now, let's match the arrangements with their corresponding net force directions:
1. Left
2. Right
3. Right
4. Right
5. Right
6. Left
7. Left
8. No net force (since the +q charge is attracted equally in both directions by the +2C and -2C charges)