A parallel plate capacitor of 3.5 Farad has a circular plate of 4.2 mm radius. If the plate's size is reduced to 2.1 mm, the capacitance will be

An engineer builds a parallel-plate capacitor with adjustable spacing between the plates. When the plates are at their initial separation, the capacitance is 2.00 uF. (a) At this capacitance, the capacitor is connected to a 20.00 V battery. After fully charging, how much energy (in ) is stored in the capacitor? μJ (b) The battery is then disconnected. Without discharging the capacitor, the engineer then doubles the separation between the plates. At this point, how much energy (in µ3) is stored in the capacitor? p] (c) Without changing this new separation between the plates, the capacitor is discharged, and then reconnected to the 20.00 V battery. Now, after fully charging, how much energy (in p) is stored in the capacitor? p3

A parallel-plate capacitor consists of square plates of edge length ℓ that are separated by a distance d, where d<<ℓ. A potential difference ΔV is maintained between the plates. A material of dielectric constant κ fills half the space between the plates. The dielectric slab is withdrawn from the capacitor as shown in the figure.   (a) Find the capacitance when the left edge of the dielectric is at a distance x from the center of the capacitor. (Use the following as necessary: ℓ, ε0, κ, x, and d.)     (b) If the dielectric is removed at a constant speed v, what is the magnitude of the current in the circuit, and its direction, as the dielectric is being withdrawn? (Use the following as necessary: ℓ, ε0, κ, ΔV, v, and d.)

The capacitance of a parallel-plate capacitor with plate area A and plate separation d is given by: O Eod/A O ɛod/2A O ɛgA/d O ɛoA/2d O ed/ɛo

In the figure the battery has a potential difference of V = 10.0 V and the five capacitors each have a capacitance of 9.00 uF. What is the charge on (a) capacitor 1 and (b) capacitor 2? FF (a) Number i (b) Number i Units Units

Calculate the side length of a square plate of parallel plate capacitor with an air gap of 9.3 mm if its capacitance is measured to be 17.7 pF. Give your answer in SI units.

In the figure the battery has a potential difference of V = 10.0 V and the five capacitors each have a capacitance of 14.0 µF. What is the charge on (a) capacitor 1 and (b) capacitor 2?

Given that average speed is distance traveled divided by time, determine the values of mm and nn when the time it takes a beam of light to get from the Sun to the Earth (in ss) is written in scientific notation. Note: the speed of light is approximately 3.0××108 m/s.

Capacitors can be configured in a number of different geometries. Let's consider a capacitor formed by two coaxial cylinders with radii of 19.0 mm and 25.3 mm respectively and length 1.2 m. If the space between the cylinders is filled with air, find the capacitance of this configuration.

A 1.00-?F capacitor is charged by being connected across a 9.0-V battery. It is then disconnected from the battery and connected across an uncharged 8.00-?F capacitor. Determine the resulting charge on each capacitor.