Q + 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 (1+x)¯ˆ ≈ 1 − nx if x < 1 to show that your expression from part a can be written Fnet = 2KqQs/p³.
Q + 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 (1+x)¯ˆ ≈ 1 − nx if x < 1 to show that your expression from part a can be written Fnet = 2KqQs/p³.
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Note that the term “dipole” should be replaced
with the term “physical dipole”, and thus assume that the “dipole”
consists of two point charges a distance s from each other
Transcribed Image Text:80. ||| In Section 22.30 we claimed that a charged object
using the Mode button or
exerts a net attractive force on an electric dipole. Let's
investigate this. FIGURE CP22.80 shows a permanent
electric dipole consisting of charges +q and −q separated
by the fixed distance s. Charge +Q is distance r from the
center of the dipole. We'll assume, as is usually the case in
practice, that s < r.
FIGURE CP22.80
S
Q
+
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 (1 + x)¯” ≈ 1 − nx if
x < 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't Coulomb's law say that the
electric force depends on the inverse square of the
distance? Explain.
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