Gift Sama said:what are the generalised and more quicker ways of finding Force that multiple charges (4 charges along the y-axis and x-axis at most) exert on the origin charge Q. i have used a cartesian plane to try solve for the vectors but seem to not get to the right answer.
Qwertywerty said:Using vector addition along x-axis and y-axis ?
yes with the aim of calculating the net force all charges exert on the origin charge
So what's your problem since you have got the way to solve it?yes with the aim of calculating the net force all charges exert on the origin charge
The formula for finding the force of multiple charges on an origin charge Q is F = k * Q * q / r^2, where k is the Coulomb's constant (9 * 10^9 Nm^2/C^2), Q is the magnitude of the origin charge, q is the magnitude of the other charge, and r is the distance between the two charges.
The direction of the force on the origin charge Q can be determined by the direction of the electric field. The electric field lines always point away from positive charges and towards negative charges. So, if the other charges are positive, the force will be repulsive and if they are negative, the force will be attractive.
Yes, the distance between the charges can greatly affect the force on the origin charge Q. As the distance increases, the force decreases, and as the distance decreases, the force increases. This is because the force is inversely proportional to the square of the distance between the charges (F = k * Q * q / r^2).
If there are multiple origin charges in the system, the force on each charge will be calculated separately and then the vector sum of these forces will be taken to determine the total force on each origin charge. This is because the forces between charges are additive and follow the principle of superposition.
The force of multiple charges on an origin charge Q can be either attractive or repulsive, depending on the charges involved. If all the other charges are of the same sign, the force will be repulsive. If there is a mix of positive and negative charges, the force will be attractive. It is also possible for the forces to cancel out, resulting in a net force of zero on the origin charge Q.