Consider a simple electroscope consisting of two insulating, massless strings of length L with small point-masses (m) firmly attached at one end (see Fig. 1). Assuming the point-masses hold equal charge Q, show that the magnitude of the Coulomb force F between the two point-masses is given by: (2) Q² F = k 2 where r = D+2L sin(0) (show this!) is the separation distance between the two point-masses, and = mg.tan(0),

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1.1 Theoretical Calculations
Consider a simple electroscope consisting of two insulating, massless strings of length L with small
point-masses (m) firmly attached at one end (see Fig. 1). Assuming the point-masses hold equal
charge Q, show that the magnitude of the Coulomb force F between the two point-masses is given
by:
Q²
F = k2 = mg - tan(0),
.
(2)
where r = D + 2L sin(0) (show this!) is the separation distance between the two point-masses, and
is the angle each massless string makes with respect to the vertical.
Transcribed Image Text:1.1 Theoretical Calculations Consider a simple electroscope consisting of two insulating, massless strings of length L with small point-masses (m) firmly attached at one end (see Fig. 1). Assuming the point-masses hold equal charge Q, show that the magnitude of the Coulomb force F between the two point-masses is given by: Q² F = k2 = mg - tan(0), . (2) where r = D + 2L sin(0) (show this!) is the separation distance between the two point-masses, and is the angle each massless string makes with respect to the vertical.
3
L
1
I
r
L
m
Figure 1: Electroscope schematic, showing two small point-masses m that can carry charge. Each object
is attached to a massless string of length L that is free to pivot around a fixed mounting point. The two
pivot points are place a distance D apart
Transcribed Image Text:3 L 1 I r L m Figure 1: Electroscope schematic, showing two small point-masses m that can carry charge. Each object is attached to a massless string of length L that is free to pivot around a fixed mounting point. The two pivot points are place a distance D apart
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