Two point charges are fixed on the y axis: a negative point charge q1 = -29 C at

Question

Two point charges are fixed on the y axis: a negative point charge q1 = -29 C at y1 = +0.16 m and a positive point charge q2 at y2 = +0.36 m. A third point charge q = +8.1 C is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 26 N and points in the +y direction. Determine the magnitude of q2.

The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is |q|=6.4 C, and the distance between them is d=6.4 mm. Determine the magnitude of the net force on charge 2 for each of the three drawings.

Two tiny spheres have the same mass and carry charges of the same magnitude. The mass of each sphere is 3.42 × 10-6 kg. The gravitational force that each sphere exerts on the other is balanced by the electric force. Determine the charge magnitude.
Two point charges are fixed on the y axis: a negative point charge q1 = -29 C at y1 = +0.16 m and a positive point charge q2 at y2 = +0.36 m. A third point charge q = +8.1 C is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 26 N and points in the +y direction. Determine the magnitude of q2.

The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is |q|=6.4 C, and the distance between them is d=6.4 mm. Determine the magnitude of the net force on charge 2 for each of the three drawings.

Two tiny spheres have the same mass and carry charges of the same magnitude. The mass of each sphere is 3.42 × 10-6 kg. The gravitational force that each sphere exerts on the other is balanced by the electric force. Determine the charge magnitude.
Two point charges are fixed on the y axis: a negative point charge q1 = -29 C at y1 = +0.16 m and a positive point charge q2 at y2 = +0.36 m. A third point charge q = +8.1 C is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 26 N and points in the +y direction. Determine the magnitude of q2.

The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is |q|=6.4 C, and the distance between them is d=6.4 mm. Determine the magnitude of the net force on charge 2 for each of the three drawings. The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is |q|=6.4 C, and the distance between them is d=6.4 mm. Determine the magnitude of the net force on charge 2 for each of the three drawings.

Two tiny spheres have the same mass and carry charges of the same magnitude. The mass of each sphere is 3.42 × 10-6 kg. The gravitational force that each sphere exerts on the other is balanced by the electric force. Determine the charge magnitude.
Two tiny spheres have the same mass and carry charges of the same magnitude. The mass of each sphere is 3.42 × 10-6 kg. The gravitational force that each sphere exerts on the other is balanced by the electric force. Determine the charge magnitude.

Explanation / Answer

The force between q1 and q is

F = k q1 q/y1^2

= 9 * 10^9 ( 29 * 10^-6) ( 8.1 * 10^-6 )/0.16^2

=82.5 N

The force on charge q due to q2 is

F2 = 9 * 10^9 ( q2 ( 8.1 * 10^-6)/0.36^2

=562.5 * 10^3 q2

F = F1 - F2

= 82.5-562.5 * 10^3 * 10^3 q2

26 N = 82.5-562.5* 10^3 * 10^3 q2

q2 = 1.0 * 10^-4 C

As per guide lines I worked first problem , please post remaning questions in the next post

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