A15.0-μf capacitor is charged by a 130.0-v power supply, then disconnected from the power and connected in series with a 0.280-mh inductor. part a calculate the oscillation frequency of the circuit. express your answer with the appropriate units.

The resonant frequency of a circuit is the frequency at which the equivalent impedance of a circuit is purely real (the imaginary part is null).

Mathematically this frequency is described as

Where

L = Inductance

C = Capacitance

Our values are given as

Replacing we have,

From this relationship we can also appreciate that the resonance frequency infers the maximum related transfer in the system and that therefore given an input a maximum output is obtained.

For this particular case, the smaller the capacitance and inductance values, the higher the frequency obtained is likely to be.

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day