Capacitor 2 has half the capacitance and twice the potential difference as capacitor 1. what is the ratio (u_{\rm c})_1/\,(u_{\rm c})_2.

1/2

Explanation:

The energy stored in a capacitor is given by

where

C is the capacitance

V is the potential difference

Calling the capacitance of capacitor 1 and its potential difference, the energy stored in capacitor 1 is

For capacitor 2, we have:

- The capacitance is half that of capacitor 1:

- The voltage is twice the voltage of capacitor 1:

so the energy stored in capacitor 2 is

So the ratio between the two energies is

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

c) up is the direction the magnetic force is acting on the charge.