Two square air-filled parallel plates that are initially uncharged are separated by 1.2 mm, and each of them has an area of 190 mm^2. how much charge must be transferred from one plate to the other if 1.1 nj of energy are to be stored in the plates? ( ε0 = 8.85 × 10^-12 c2/n · m^2)

Explanation:

The capacitance of the parallel-plate capacitor is given by:

where

is the vacuum permittivity

is the area of the plates

is the separation between the plates

Substituting,

The energy stored in the capacitor is given by

Since we know the energy

we can re-arrange the formula to find the charge, Q:

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

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