How much charge is on each plate of a $4.00-\mu \mathrm{F}$ capacitor when it is connected to a $12.0-\mathrm{V}$ battery?

A parallel-plate capacitor with air between the plates and plate separation distance d is connected to a battery that maintains a potential difference $V _ { \text { batt } }$ between the plates. Sketch a graph of V as a function of x when x is defined as position between the plates, running from x = 0 at the surface of the positively charged plate to x = d at the surface of the other plate. Plot the points x = 0, x = d/4, x = d/2, x = 3d/4, and x = d. A slab that is made of a dielectric material and has a thickness of d/2 is inserted between the plates such that the midpoint of slab thickness is at the position d/2 in the space between the plates. Sketch a graph of V(x) for the capacitor now. Comment on how your graph is affected by the magnitude of the bound charge induced on the surface of the dielectric slab.

How does the energy stored in a capacitor change if the charge on each plate is doubled as the capacitor remains connected to a battery?

Under what conditions can the outer surface of a vertical cylinder be treated as a vertical plate in natural convection calculations?

Explain why a doctor would be worried about a child who broke a long bone close to the epiphyseal plate.

Under what conditions can the outer surface of a vertical cylinder be treated as a vertical plate in natural convection calculations?

If the energy stored by a $6 \mu \mathrm{F}$ capacitor is $1200 \mathrm{~J}$, find the charge $Q$ on each plate of the capacitor.

A $0.40~\mu \mathrm{F}$ capacitor is connected to a $9.0~ \mathrm{V}$ battery. How much charge is on each plate of the capacitor?

a. What is a volcano? b. Where are most volcanoes located? c. What causes volcanoes to form at a diverging plate boundary?

Draw a diagram comparing convection in a pot of water with convection in Earth's mantle. Relate the process of convection to plate movement.

A parallel-plate capacitor has circular plates of 8.20 cm radius and 1.30 mm separation. Calculate the capacitance.

$\text{\red{Relate Cause and Effect}}$Describe two ways that plate tectonics has affected life on Earth.

If you observed a beam of particles being bent toward a negatively charged plate, what might you conclude?

It takes 100,000 years for a plate to move about 2 kilometers. What is the rate of motion in centimeters per year?