24. Electric Force & Field; Gauss' Law

According to Coulomb's Law, how does the magnitude of the electric force between two point charges change as the distance between them increases?

According to Coulomb's Law, what is the magnitude of the electric force between two point charges $q_1$ and $q_2$ separated by a distance $r$ in vacuum?

Two protons, starting several meters apart, are aimed directly at each other with speeds of $2.00\times {10}^5$ m/s, measured relative to the earth. Find the maximum electric force that these protons will exert on each other.

CALC A uniform electric field’s strength is increasing with time as $E=(1.5\times {10}^4+(5.0\times {10}^{10}{\text{s}}^{-1}\left)t\right)\text{N/C}$. A proton is released in the field from rest at t = 0. What is the proton’s speed 1.0 μs later?

Two point charges, $q_a$ and $q_b$, are separated by a distance $r$. What is the magnitude of the electric force on charge $q_a$ due to $q_b$ according to Coulomb's Law?

What is the force F on the 1.0 nC charge in FIGURE EX22.20? Give your answer as a magnitude and a direction.

If the force between two charges is F when the distance is d, what will the force between the two charges be if they were moved to a distance of 2d?

In which direction will the −1 C charge move? If it has a mass of 10 g, what will its initial acceleration be?

What is the direction of the net force on the charge at the center of the square in the following figure?

Three point charges are arranged along the $x$-axis. Charge $q_1=+3.00$ $\mu$C is at the origin, and charge $q_2=-5.00$ $\mu$C is at $x=0.200$ m. Charge $q_2=-8.00$ $\mu$C. Where is $q_3$ located if the net force on $q_1$ is $7.00$ N in the $-x$-direction?

Three point charges are arranged on a line. Charge $q_3=+5.00$ nC and is at the origin. Charge $q_2=-3.00$ nC and is at $x=+4.00$ cm. Charge $q_1$ is at $x=+2.00$ cm. What is $q_1$ (magnitude and sign) if the net force on $q_3$ is zero?