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Chapter 22: Q. 42 (page 625)
What is the force on the charge in FIGURE P? Give your answer as a magnitude and an angle measured cw or ccw (specify which) from the-axis.
The value of force is and the angle is.
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Two positive point charges q and 4q are at x = 0 and x = L, respectively, and free to move. A third charge is placed so that the entire three-charge system is in static equilibrium. What are the magnitude, sign, and x-coordinate of the third charge?
A honeybee acquires a charge of while flying.
a. The earth鈥檚 electric field near the surface is typically (, downward). What is the ratio of the electric force on the bee to the bee鈥檚 weight?
b. What electric field (strength and direction) would allow the bee to hang suspended in the air?
Two small plastic spheres each have a mass of 2.0 g and a charge of -50.0 nC. They are placed 2.0 cm apart (center to center).
a. What is the magnitude of the electric force on each sphere?
b. By what factor is the electric force on a sphere larger than its weight?
What are the strength and direction of the electric field 4.0 cm from a small plastic bead that has been charged to -8.0 nC?
In Section we claimed that a charged object exerts a net attractive force on an electric dipole. Let鈥檚 investigate this. FIGURE CP22.77 shows a permanent electric dipole consisting of charges +q and -q separated by the fixed distance s. Charge +Q is the distance r from the center of the dipole. We鈥檒l assume, as is usually the case in practice, that s V r.
a. Write an expression for the net force exerted on the dipole by charge +Q.
b. Is this force toward +Q or away from +Q? Explain.
c. Use the binomial approximation nx if x V 1 to show that your expression from part a can be written Fnet = 2KqQs/r3 .
d. How can an electric force have an inverse-cube dependence? Doesn鈥檛 Coulomb鈥檚 law say that the electric force depends on the inverse square of the distance? Explain.
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