Question

In: Physics

Two point charges q1 and q2 are 1.30 m apart, and their total charge is 22.9...

Two point charges q1 and q2 are 1.30 m apart, and their total charge is 22.9 µC. If the force of repulsion between them is 0.651 N, what are magnitudes of the two charges?

If one charge attracts the other with a force of 0.268N, what are the magnitudes of the two charges if their total charge is also 22.9 nC? The charges are at a distance of 1.30m

Expert Solution

Part A (Repel)

Distance between the charges; r = 1.3m

Given

By Coulomb's law Force between them is

The roots of this equation are calculated by the general formula for the form :

Hence solving for we have

Let then

Essentialy the roots of the quadratic equation gives the magnitude of both charges which are 14.3uC and 8.6uC respectively. For a repulsive force we have charges of same sign as expected.

Part B (Attract)

NOTE: I belive that there is a typing error in part 2 that total charge should be 22.9 µC instead of 22.9nC else the roots of the quadratic equation come out to be complex, which is not possible. I am solving for a correct answer.

Distance between the charges; r = 1.3m

Given

(This should be the question)

By Coulomb's law Force between them is

Solving for as in Part A we get,

Let then

Essentialy the roots of the quadratic equation gives the magnitude of both charges which are -24.9µC and 2µC respectively. For an attractive force we have charges of opposite sign as expected.

genius_generous answered 2 years ago

1. Two point charges q1 and q2 are 2.90 m apart, and their total charge is...

1. Two point charges q1 and q2 are 2.90 m apart, and their total charge is 20 µC. Note that you may need to solve a quadratic equation to reach your answer. (a) If the force of repulsion between them is 0.090 N, what are the two charges (in µC)? smaller value = larger value = (b) If one charge attracts the other with a force of 0.509 N, what are the two charges (in µC)? smaller value = larger...

Point charges q1 = 43 µC and q2 = −21 µC are placed 3.5 m apart....

Point charges q1 = 43 µC and q2 = −21 µC are placed 3.5 m apart. Where must q3 = 24 µC be placed (on the x-axis, in m) so that the net force on it is zero? (Assume that q1 is at x = 0 and q2 is at x = 3.5 m.)

Three point charges are on the x-axis: q1 at the origin, q2 at 3 m, and...

Three point charges are on the x-axis: q1 at the origin, q2 at 3 m, and q3 at 7 m. A) Find the potential at the point (0, 4 m) if q1 = q2 = q3 = 2 µC. The Coulomb constant is 8.99 × 109 N · m2 /C 2 Answer in units of kV. B) Find the potential at the point (0, 4 m) if q1 = q2 = 2 µC and q3 = −2 µC . Answer...

There are two point charges. One has a charge q1 = 1nC and is located at...

There are two point charges. One has a charge q1 = 1nC and is located at the point (1;2). The other has a charge q2 = 10 nC and is located at the point (7;-6). A) What is the magnitude and the direction of the Coulomb force acting on the charge q1? B) Where should the third charge be located in order to have zero net force acting on each charge? What is its magnitude?

Two positive point charges q1 = 6.0nC and q2 = 9.0nC are separated in a vacuum...

Two positive point charges q1 = 6.0nC and q2 = 9.0nC are separated in a vacuum by a distance of 5.36m. The spot on the line between the charges measured from the charge q1 where the net electric field is zero is

Two point charges, Q1 = 3.0 μC and Q2 = -1.7 μC , are placed on...

Two point charges, Q1 = 3.0 μC and Q2 = -1.7 μC , are placed on the x axis. Suppose that Q2 is placed at the origin, and Q1 is placed at the coordinate x1 = − 3.0 cm. At what point(s) along the x axis is the electric field zero? Determine the x-coordinate(s) of the point(s). Express your answer using two significant figures. If there is more than one answer, enter your answers in ascending order separated by commas....

Two point charges are fixed on the y axis: a negative point charge q1 = -30...

Two point charges are fixed on the y axis: a negative point charge q1 = -30 μC at y1 = +0.22 m and a positive point charge q2 at y2 = +0.37 m. A third point charge q = +9.8 μC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 20 N and points in the +y direction. Determine the magnitude of q2.

Two point charges are placed on the x axis as follows: Charge q1 = 4.00nC is...

Two point charges are placed on the x axis as follows: Charge q1 = 4.00nC is located at x = 0.200m , and charge q2 = 5.00nC is at x=?0.300m. What are the magnitude and direction of the net force exerted by these two charges on a negative point charge q3 = -0.600nC placed at the origin? A. magnitude B. direction

Two point charges q1 = 5.00nC and q2 = -8.00nC are separated by 25 cm. What...

Two point charges q1 = 5.00nC and q2 = -8.00nC are separated by 25 cm. What is the electric potential at the point between two charges at a distance 10 cm from charge q1? What is the potential energy of the pair of charges? What work will be done by the system to bring the charges from the initial distance of 25 cm to a distance of 5 cm between them? Please show detailed work and diagram

A point charge q1=8.60 nC is fixed at the origin. A second point charge q2= 5.30...

A point charge q1=8.60 nC is fixed at the origin. A second point charge q2= 5.30 nC is fixed at the point x= 10 cm. a) find the electric potential at point A, located xa= 14.0 cm b) find the total electric field (magnitude and direction) at point B, located xb= 6.0 cm