Question

In: Physics

Particle 1 of charge q1 = 0.96 μC and particle 2 of charge q2 = -3.02...

Particle 1 of charge q1 = 0.96 μC and particle 2 of charge q2 = -3.02 μC, are held at separation L = 10.6 cm on an x axis. If particle 3 of unknown charge q3 is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the x coordinate of particle 3?

Solutions

Expert Solution

Given q1 = 0.96C, q2 = -3.02C and L = 10.6cm. The charges are on x-axis. Assume that the charge q1 is at origin. Since q1 is positive and q2 is negative, the third charge q3 cannot be placed in between the q1 and q2. It must be placed ouside (nearer to the charge with smaller magnitude) to make the net force zero. So q3 is to the left of q1. Let x be the distance between q3 and q1 and (L+x) be the distance between q3 and q2.

The force acting on q3 due to q1 is given by,

The force acting on q3 due to q2 is given by,

Since net force is zero, these two forces should be equal and opposite. Therefore,

So the diatance of q3 from q1 is 13cm. Since q1 is at origin and q3 is to the left of q1, the x-coordinate of q3 is -13cm

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

In the figure particle 1 of charge q1 = 0.93 μC and particle 2 of charge...
In the figure particle 1 of charge q1 = 0.93 μC and particle 2 of charge q2 = -2.96 μC, are held at separation L = 9.5 cm on an x axis. If particle 3 of unknown charge q3 is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a)x and (b)y coordinates of particle 3?
1) Two particles with charges q1 = -6 μC and q2 = 2 μC, respectively, situated...
1) Two particles with charges q1 = -6 μC and q2 = 2 μC, respectively, situated at corners of a rectangle of sides a = 10 m and b = 20 m. What Is The Electric Potential At The Corner with the right angle 2) Two particles with charges q1 = 6 C and q2 = -2 C, respectively, situated at corners of a rectangle of sides a = 10 m and b = 20 m. What Is The Electric...
Two small nonconducting spheres have a total charge of Q=Q1+Q2= 87.0 μC , Q1<Q2. When placed...
Two small nonconducting spheres have a total charge of Q=Q1+Q2= 87.0 μC , Q1<Q2. When placed 32.0 cm apart, the force each exerts on the other is 12.0 N and is repulsive. What is the charge Q1? Express your answer to three significant figures and include the appropriate units. What is the charge Q2? Express your answer to three significant figures and include the appropriate units. What would Q1 be if the force were attractive? Express your answer to three...
Two small nonconducting spheres have a total charge of Q=Q1+Q2= 90.0 μC , Q1<Q2. When placed...
Two small nonconducting spheres have a total charge of Q=Q1+Q2= 90.0 μC , Q1<Q2. When placed 31.0 cm apart, the force each exerts on the other is 13.0 N and is repulsive. Part A: What is the charge Q1? Part B: What is the charge Q2? Part C: What would Q1 be if the force were attractive? Part D: What would Q2 be if the force were attractive?
Two small nonconducting spheres have a total charge of Q=Q1+Q2= 90.0 μC , Q1<Q2. When placed...
Two small nonconducting spheres have a total charge of Q=Q1+Q2= 90.0 μC , Q1<Q2. When placed 31.0 cm apart, the force each exerts on the other is 13.0 N and is repulsive. Part A: What is the charge Q1? Part B: What is the charge Q2? Part C: What would Q1 be if the force were attractive? Part D: What would Q2 be if the force were attractive?
1.) Two charges, q1 = -16.5 μC and q2 = 13.5 μC , are located at...
1.) Two charges, q1 = -16.5 μC and q2 = 13.5 μC , are located at (x,y) = (12.4, 21.2) cm and (19.6, 24.0) cm respectively. Find the electrostatic force between these two changes (take an attractive force to be negative) 2.)Two charges, q1 =-16.1 μC and q2 = 11.9 μC , are located along a straight line at x = 19.5 cm and 57.5 cm respectively. What is the electric field at a point P located at x =...
Let: q1 = +A μC q2 = +B μC , at the origin , B meters...
Let: q1 = +A μC q2 = +B μC , at the origin , B meters to the right of the origin , A meters above q2 , A meters above the origin q3 = -A*B μC q4 = -B/A μC A = 4 B= 5 where: Find the magnitude and direction of the total electric force and total electric field at q3. Let: q1 = +4 μC , at the origin q2 = +5 μC, 5 meters to the...
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 charges, q1 = 5 μC and q2 = 7 μC, are separated by 25 cm....
Two charges, q1 = 5 μC and q2 = 7 μC, are separated by 25 cm. Where should a third charge be placed on the line between them such that the resultant force on it will be zero? Does it matter if the third charge is positive or negative?
4) There are two charges q1 = 35 μC and q2 = 50 μC placed 0.5...
4) There are two charges q1 = 35 μC and q2 = 50 μC placed 0.5 m apart and fixed in place. Where should the charge q3 = 15 μC be placed so that it experiences no force on it? 5) Suppose Earth and the Moon each carried a net negative charge −Q. Approximate both bodies as point masses and point charges. (a) What value of Q is required to balance the gravitational attraction between Earth and the Moon? (b)...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT