Three point charges are placed on the y-axis, a charge q at y=a, a charge -2q...

Three point charges are placed on the y-axis, a charge q at y=a, a charge -2q at the origin and a charge q at y=-a. Such an arrangement is called an electric quadrupole. (a) Find the magnitude and direction of the electric field at points on the positive x-axis. (b)What would be the force exerted by these three charges on a fourth charge 2q placed at (b,0). Explain the steps along the way and thought process behind solving.

Expert Solution

Electric field=K Q/(distance)^2

Taking vector comments in consideration Electric field taken into Its X and Y components.

And X components can be given by Ex=KQx/R^3

Where R=√(x^²+y^²)

Force at a point given by electric field at that point × Charge residing at that point

i.e F=QE

genius_generous answered 2 years ago

Three point charges are placed on the x-axis. A charge of +2.0 μC is placed at...

Three point charges are placed on the x-axis. A charge of +2.0 μC is placed at the origin, -2.0 μC to the right at x = 50 cm, and +4.0 μC at the 100 cm mark. What are the magnitude and direction of the electrostatic force which acts on the charge at the origin?

Three charges are placed on the y-axis. The first, with charge 8nC, sits at y=5cm. The...

Three charges are placed on the y-axis. The first, with charge 8nC, sits at y=5cm. The second, with charge -14nC, is at y=0cm. The third, -10nC, is at y=−5cm. a) What is the electric potential on the x-axis at x=10cm? b) What is the magnitude of the electric field at x=10cm? c) What is the electric potential at x= −10cm? d) What is the magnitude of the electric field at x= −10cm?

3. A positive point charge q = +3 µC is placed on the y axis at...

3. A positive point charge q = +3 µC is placed on the y axis at y = +5 cm. A negative point charge -q = -3 µC is placed at the origin. a) At how many points on the y axis could an additional positive charge +q be placed without changing the potential energy of the system? b) Calculate the work done by the field to bring in an additional point charge +q from infinity to the point A....

Two point charges +Q and -2Q are separated by a distance d on the X-axis. A)...

Two point charges +Q and -2Q are separated by a distance d on the X-axis. A) What is the electric field in the middle of these two point charges? B) Draw the electric filed lines for these two charges. C) Can you find a position where the net electric field from these two charges is Zero?

Two point charges +Q and -2Q are separated by a distance d on the X-axis. If...

Two point charges +Q and -2Q are separated by a distance d on the X-axis. If a third point charge is placed in the two charges’ plane, A) Where would the third charge be placed to experience a zero net force from the two point charges? B) Is the third charge must be positive or negative?

Three point charges are placed on the x-y plane: a +40.0nC charge at the origin, a...

Three point charges are placed on the x-y plane: a +40.0nC charge at the origin, a -40.0nC charge on the x axis at 10.0cm, and a +100.0nC charge at the point (10.0cm, 9.00cm). (A) Find the total electric force on the +100.0nC charge due to the other two. Please answer in this format: ( ? N)x + ( ? N)y (B) What is the electric field at the location of the +100.0nC charge due to the presence of the other...

Three point charges lie in a straight line along the y-axis. A charge of q1 =...

Three point charges lie in a straight line along the y-axis. A charge of q1 = -9.70 µC is at y = 6.80 m, and a charge of q2 = -8.30 µC is at y = -4.20 m. The net electric force on the third point charge is zero. Where is this charge located? y = m An alpha particle (charge = +2.0e) is sent at high speed toward a gold nucleus (charge = +79e). What is the electric force acting...

A point particle with charge q = 4.2 ?C is placed on the x axis at...

A point particle with charge q = 4.2 ?C is placed on the x axis at x = ?10 cm and a second particle of charge Q = 7.8 ?C is placed on the x axis at x = +25 cm. (a) Determine the x and y components of the electric field due to this arrangement of charges at the point (x, y) = (10, 10) (the units here are centimeters). Ex = N/C Ey = N/C (b) Determine the magnitude and...

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

Three point charges, q, 2q, and 3q, are at the vertices of an equilateral triangle of...

Three point charges, q, 2q, and 3q, are at the vertices of an equilateral triangle of sides a. If q= 15.8 nC and a= 11.1 cm, what is the magnitude of the electric field at the geometric center of the triangle? Please explain in details, in particular the trig to set up the equilateral triangle. I am confused.

Question