Figure 21-19 shows four situations in which particles of

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QUESTION:

Figure 21-19 shows four situations in which particles of charge +q or -q are fixed in place. In each situation, the particles on the x axis are equidistant from the y axis. First, consider the middle particle in situation 1; the middle particle experiences an electrostatic force from each of the other two particles. (a) Are the magnitudes F of those forces the same or different? (b) Is the magnitude of the net force on the middle particle equal to, greater than, or less than 2F? (c) Do the x components of the two forces add or cancel? (d) Do their y components add or cancel? (e) Is the direction of the net force on the middle particle that of the canceling components or the adding components? (f) What is the direction of that net force? Now consider the remaining situations: What is the direction of the net force on the middle particle in (g) situation 2, (h) situation 3, and (i) situation 4? (In each situation, consider the symmetry of the charge distribution and determine the canceling components and the adding components.)

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QUESTION:

Figure 21-19 shows four situations in which particles of charge +q or -q are fixed in place. In each situation, the particles on the x axis are equidistant from the y axis. First, consider the middle particle in situation 1; the middle particle experiences an electrostatic force from each of the other two particles. (a) Are the magnitudes F of those forces the same or different? (b) Is the magnitude of the net force on the middle particle equal to, greater than, or less than 2F? (c) Do the x components of the two forces add or cancel? (d) Do their y components add or cancel? (e) Is the direction of the net force on the middle particle that of the canceling components or the adding components? (f) What is the direction of that net force? Now consider the remaining situations: What is the direction of the net force on the middle particle in (g) situation 2, (h) situation 3, and (i) situation 4? (In each situation, consider the symmetry of the charge distribution and determine the canceling components and the adding components.)

ANSWER:

Step 1 of 4

.a) Since the charges on the x-axis are equidistant from the y-axis, therefore, there distance from the middle charge on the y-axis will be the same.

Let  be the distance between the charge on y-axis and the charges on x-axis.

Magnitude of force on the middle charge due to the charge on left is:

Magnitude of force on the middle charge due to the charge on right is:

We see that, . Thus, the magnitude of the force on the middle charge due to the other two charges are equal.

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