Consider the three electric charges, A, B, and C, shown in the figure.
A-----------B-----------C
-q +q +q
The Distance between is same.
Rank charges from largest to smallest magnitude of the net force they experience
and can any one tell me how?
To rank the charges from largest to smallest magnitude of the net force they experience, we can use Coulomb's law, which states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. The formula for Coulomb's law is written as:
F = k * |q1 * q2| / r^2
Where:
F is the magnitude of the force between the charges,
k is the electrostatic constant (k ≈ 9 × 10^9 Nm^2/C^2),
q1 and q2 are the magnitudes of the charges, and
r is the distance between the charges.
In this case, charges A and C are both positive, while charge B is negative. Therefore, the forces on charges A and C will be attractive (towards charge B), while the force on charge B will be repulsive (away from charges A and C).
To compare the magnitude of the forces, we can calculate and compare the values of the force on each charge by plugging the given values into the formula and using the fact that the distance between the charges is the same. Since the magnitudes of the charges are the same (+q), we can ignore the magnitude of the charges and focus only on the comparison of the forces.
Considering that the distance is the same, the force equation becomes:
F = (k * q^2 / r^2)
Since we are just comparing the magnitudes of the forces, we can ignore the actual values of k and q.
Now, we can calculate the forces on each charge:
Force on charge A = (q^2 / r^2)
Force on charge B = (q^2 / r^2)
Force on charge C = (q^2 / r^2)
Since the magnitude of charges A and C is positive, their forces will have the same sign and be attractive. On the other hand, charge B has a negative magnitude, so its force will have the opposite sign and be repulsive.
Therefore, the ranking of the charges from largest to smallest magnitude of net force is as follows:
1. Charge B: The magnitude of the force experienced by charge B will be the largest since it is repelled by both charges A and C.
2. Charges A and C: The magnitudes of the forces experienced by charges A and C will be the same and the smallest since they are both attracted to charge B but repel each other.
In summary, the ranking is: Charge B > Charges A and C.