Chapter 22: Electric Charges and Forces

What is the force$\overrightarrow{\mathrm{F}}$on the$1.0\mathrm{nC}$charge at the bottom in FIGURE $\mathrm{P}22.46$$?$Give your answer in component form.

A$+2.0\mathrm{nC}$charge is at the origin and a$-4.0\mathrm{nC}$charge is at$\mathrm{x}=1.0\mathrm{cm}$.

a. At what$\mathrm{x}$-coordinate could you place a proton so that it would experience no net force?

b. Would the net force be zero for an electron placed at the same position? Explain.

The net force on the$1.0\mathrm{nC}$charge in FIGURE$\mathrm{P}22.48$is zero What is$\mathrm{q}$$?$

Charge${\mathrm{q}}_2$in FIGURE$\mathrm{P}22.49$is in equilibrium. What is${\mathrm{q}}_1$$?$

A lightweight metal ball hangs by a thread. When a charged rod is held near, the ball moves toward the rod, touches the rod, then quickly “flies away” from the rod. Explain this behavior.

What is the total charge of all the electrons in 1.0 L of liquid water?

A lightweight metal ball hangs by a thread. When a charged rod is held near, the ball moves toward the rod, touches the rod, then quickly “flies away” from the rod. Explain this behavior.

A positive point charges$\mathrm{Q}$located at$\mathrm{x}=\mathrm{a}$and a negative point charge $-\mathrm{Q}$is at$\mathrm{x}=-\mathrm{a}$.A positive charge$\mathrm{q}$can be place anywhere on the$\mathrm{y}$- axis. Find an expression for${\left({\mathrm{F}}_{\text{net}}\right)}_{\mathrm{x}}$, the component of the net force on$\mathrm{q}$.

FIGURE $\mathrm{P}22.51$shows four charges at the corners of a square of side $\mathrm{L}$. What is the magnitude of the net force on$\mathrm{q}$?

FIGURE $\mathrm{P}22.52$shows three charges and the net force on charge $-\mathrm{q}$. Charge$\mathrm{Q}$is some multiple $\mathrm{\alpha }$of $\mathrm{q}$. What is$\mathrm{\alpha }$$?$