Western Civilization is forever indebted to the people of ancient Greece and Rome. Among the numerous contributions these societies made are in the fields of art, literature and philosophy; however, perhaps their greatest gift to future generations was the modern perception of government. The contemporary idea of democracy, while borne out of the political struggles in the city of Athens, came to fruition in the Roman Republic, surviving, despite the constant interference of the emperor, through the Roman Empire. Although the present definition of democracy has changed considerably, one must still recognize its early evolution in that eternal city, Rome.
From Monarchy to Representation
The Roman Republic emerged out of what one historian called “the ashes of the monarchy.” Years underneath the unyielding yoke of a king taught the people of Rome that they had to safeguard against the rule, and possible oppression, of one individual. The real authority or imperium of the republic, and later empire, was to be divided among three basic elements - elected non-hereditary magistrates, a Senate to advise and consent, and popular assemblies. Unfortunately for many people in Rome, in the early stages of the Republic, power lay solely in the hands of the elite, the old landowning families or patricians. The remainder and largest share of the city’s population - the plebeians - had few if any rights. This unequal division of power would not last very long.
Answer: 580 x 10^-3 J
Explanation:
0.6mm is 0.6/1000 = 600*10^-6 m
The plate area is .17*.17 = 28.9*10^-3 m^2
Air:
The voltage that can be sustained by 0.60 mm of air dielectric is:
V = 3.0*10^6* 600*10^-6 = 1800 V
The capacitance is:
C = ε*A/d = 8.854*10^-12 * 28.9*10^-3/600*10^-6 = 426*10^-12 F = 426 pF
The energy stored in a capacitor is:
E = (1/2)*C*V^2 = (1/2)*426*10^-12*(1800)^2 = 691*10^-6 J
Teflon:
The voltage is:
V = 60*10^6* 600*10^-6 = 36*10^3 = 36 kV
According to the listed reference, the relative dielectric constant for teflon is 2.1, this figure multiplies the "ε" of free space.
The capacitance is:
C = ε*A/d = 2.1*8.854*10^-12 * 28.9*10^-3/600*10^-6 = 896*10^-12 F = 896 pF
It would have been easier to note that the capacitance is 2.1 times the air-dielectric case.
The maximum energy stored is:
E = (1/2)*C*V^2 = (1/2)* 896*10^-12* (36*10^3)^2 = 580*10^-3 J
I think it's longitudinal wave because the particles move parallel to the direction that the wave is traveling.
Answer:
Styrofoam would be the best insulator because it traps the air in small pockets, blocking the flow of heat energy.
Explanation:
