An annulus has inner and outer radii a and b, respectively and carries a uniform surface charge density o (where sigma is a positive constant, the charge is distributed between the surface of disk of radius a and disk of radius b.) The annulus is on the xy plane as shown in the figure. A point positive charge of q and mass m is released at rest at z = 0 and slightly pushed (i.e., its initial speed is almost zero and can be ignored). Find the ultimate speed of the charge at z = o in terms of k (Coulomb's constant), ơ, a,b, m, and q.
An annulus has inner and outer radii a and b, respectively and carries a uniform surface charge density o (where sigma is a positive constant, the charge is distributed between the surface of disk of radius a and disk of radius b.) The annulus is on the xy plane as shown in the figure. A point positive charge of q and mass m is released at rest at z = 0 and slightly pushed (i.e., its initial speed is almost zero and can be ignored). Find the ultimate speed of the charge at z = o in terms of k (Coulomb's constant), ơ, a,b, m, and q.
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Transcribed Image Text:An annulus has inner and outer radii a and b, respectively and carries a
uniform surface charge density o (where sigma is a positive constant, the charge
is distributed between the surface of disk of radius a and disk of radius b.) The
annulus is on the xy plane as shown in the figure. A point positive charge of
q and mass m is released at rest at z = 0 and slightly pushed (i.e., its initial
speed is almost zero and can be ignored). Find the ultimate speed of the charge
at z = o in terms of k (Coulomb's constant), o, a,b, m, and q.
a.
→ Z
q,m
Select one:
| 2tkqo(b
- a
m
Tkqo(b – a)
m
4r kqo(b – a)
m
2nkqo(b – a)
mab
Tkqo (b – a)
тab
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