Electricity and Magnetism
# Electric Fields

$E = 5 \text{ V/m}$ exists, as depicted in the above figure. A $Q= 5 \times 10^{-3} \text{ C}$ charge of mass $m = 4 \text{ g},$ initially at rest at $x_a = - 1 \text { m},$ is released. What is its approximate speed at $x_b = 2 \text{ m}?$

A constant electric fieldA charge of $q = 4.0 \text{ C},$ initially away from a fixed point charge of $1.0 \text{ nC}$ by a distance of $r_1 = 7.0 \text{ m},$ moves closer to a point where the distance is $r_2= 1.0 \text{ m}.$ What is the approximate work done to the charge?

Assume that electric constant is $\epsilon_0 = 8.9 \times 10^{-12} \text{ F/m}.$

Two identical charges with charge $q= 4 \times 10^{-7} \text{ C}$ and mass $m = 3 \text{ g}$ are fixed $r =1.2 \text{ cm}$ apart. Another identical charge is shot from infinity and stops midway between the two. What is its approximate initial speed?

Assume that electric constant is $\epsilon_0 = 8.9 \times 10^{-12} \text{ F/m}.$