An electric dipole in a uniform horizontal electric field is displaced slightly from its equilibrium position as shown in Figure P22.50, where θ is small. The separation of the charges is 2a, and each of the two particles has mass m. (a) Assuming the dipole is released from this position, show that its angular orientation exhibits simple harmonic motion with a frequency (b) Suppose the masses of the two charged particles in the dipole are not the same even though each particle continues to have charge q. Let the masses of the particles be m1 and m2. Show that the frequency of the oscillation in this case is

An Introduction to Physical Science
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ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
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Chapter1: Measurement
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An electric dipole in a uniform horizontal electric field is displaced slightly from its equilibrium position as shown in Figure P22.50, where θ is small. The separation of the charges is 2a, and each of the two particles has mass m.

(a) Assuming the dipole is released from this position, show that its angular orientation exhibits simple harmonic motion with a frequency

(b) Suppose the masses of the two charged particles in the dipole are not the same even though each particle continues to have charge q. Let the masses of the particles be m1 and m2. Show that the frequency of the oscillation in this case is

|qE
f =
2л V та
1
Transcribed Image Text:|qE f = 2л V та 1
qE(m, +m,)
2аm,т,
b-
1
f =
2a
Figure P22.50
Transcribed Image Text:qE(m, +m,) 2аm,т, b- 1 f = 2a Figure P22.50
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