Consider the following situation: Three particles +3q, +q, and -2q are placed on a line in...

Consider the following situation:

Three particles +3q, +q, and -2q are placed on a line in that order. The middle charge, the +q, is a distance d from the other two charges.

a) Conceptually comment on what the net electric force, magnitude and direction, on the middle particle due to the other two will be.

b) Calculate the net electric force, magnitude and direction, on the middle particle due to the other two.

c) Let q = 25 uC and d = 0.35 m. Compute the net force on the middle charge due to the other two charges.

d) Do your answers in parts (a) and (b) agree with one another? If not, please explain what your misunderstanding was and how you corrected that misunderstanding.

Expert Solution

genius_generous answered 2 years ago

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.

Consider the situation of two particles which have equal but opposite charges, +Q and -Q. The...

Consider the situation of two particles which have equal but opposite charges, +Q and -Q. The particles have identical mass. Discuss the following situations in terms of their motion and the work done on them by the relevant field. Where relevant, also provide a short discussion of the implications of these effects on the properties of the charged particles. If necessary, include diagrams to illuminate your solution. (a) For the positive charge, the charge is stationary, and it is placed...

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.

Consider n equal positively charged particles each of magnitude Q/n placed symmetrically around a circle of...

Consider n equal positively charged particles each of magnitude Q/n placed symmetrically around a circle of radius a. (a) Calculate the magnitude of the electric field at a point a distance x from the center of the circle and on the line passing through the center and perpendicular to the plane of the circle. (Use any variable or symbol stated above along with the following as necessary: ke.) E = (b) Now consider a ring of radius a that carries...

Four equally charged particles with charge q are placed at the corners of a square with...

Four equally charged particles with charge q are placed at the corners of a square with side length L, as shown in the figure below. A fifth charged particle with charge Q is placed at the center of the square so that the entire system of charges is in static equilibrium. What are the magnitude and sign of the charge Q? (Use any variable or symbol stated above as necessary.) magnitude Q =

Consider a representative firm with the total costs of TC=16+Q^2 (and marginal costs of 2Q, MC=2Q)...

Consider a representative firm with the total costs of TC=16+Q^2 (and marginal costs of 2Q, MC=2Q) . The market demand curve is given by P=36-1/2Q and the starting market price is $18 1. Graph the starting scenario using comparative statistics 2. Why is this not a long run equilibrium? 3. What happens in order to transition to the long run? 4. Graph the long run equilibrium using comparative statistics 5. How many firms are in the market in the long...

Consider these curves: MC = 6Q AC = (50/Q) + 3Q Demand: P = 50 -...

Consider these curves: MC = 6Q AC = (50/Q) + 3Q Demand: P = 50 - 2Q MR = 50 - 4Q 1. For a monopolist, the profit-maximizing quantity will be ____. They will charge a price of ____ and make the profit ____. (Fill in blanks) 2. Graph the curves and label Qm, Price, and Profit 3. What quantity would maximize efficiency?

three charged particles are placed at the corners of an equilateral triangle of side 1.20m. the...

three charged particles are placed at the corners of an equilateral triangle of side 1.20m. the charges are q1 =3.0 q2=-.85uc and q3= -6.0uc. Calculate the magnitude and direction of the net force on each s ide due to the other two. assume the +x axis points to the right that is from q2 to q3. q2 to q3 is along x axis q1 is above it. please show steps.

Three charged particles are placed at each of three corners of an equilateral triangle whose sides...

Three charged particles are placed at each of three corners of an equilateral triangle whose sides are of length 2.1 cm . Two of the particles have a negative charge: q1 = -8.0 nC and q2 = -16.0 nC . The remaining particle has a positive charge, q3 = 8.0 nC . What is the net electric force acting on particle 3 due to particle 1 and particle 2? A) Find the net force ΣF⃗ 3 acting on particle 3...

Question: Particles of charge +65, +48, and ?95 ?C are placed in a line (Figure 1)...

Question: Particles of charge +65, +48, and ?95 ?C are placed in a line (Figure 1) . The center one is L = 35cm from each of the others. Part A: Calculate the net force on the left charge due to the other two. Enter a positive value if the force is directed to the right and a negative value if the force is directed to the left. Part B: Calculate the net force on the center charge due to...

Question