A parallel-plate capacitor has capacitance $C_0=5.00 \mathrm{pF}$ when there is air between the plates. The separation between the plates is $1.50 \mathrm{~mm}$. $(a)$ What is the maximum magnitude of charge $Q$ that can be placed on each plate if the electric field in the region between the plates is not to exceed $3.00 \times 10^4 \mathrm{~V} / \mathrm{m}$ ? $(b)$ A dielectric with $K=2.70$ is inserted between the plates of the capacitor, completely filling the volume between the plates. Now what is the maximum magnitude of charge on each plate if the electric field between the plates is not to exceed $3.00 \times 10^4 \mathrm{~V} / \mathrm{m}$ ?

A spherical capacitor is formed from two concentric spherical conducting shells separated by a vacuum. The inner sphere has radius $12.5 \mathrm{~cm}$ and the outer sphere has radius $14.8 \mathrm{~cm}$. A potential difference of $120 \mathrm{~V}$ is applied to the capacitor. $(a)$ What is the energy density at $r=12.6 \mathrm{~cm}$, just outside the inner sphere? $(b)$ What is the energy density at $r=14.7 \mathrm{~cm}$, just inside the outer sphere? $(c)$ For the parallel-plate capacitor the energy density is uniform in the region between the plates, except near the edges of the plates. Is this also true for the spherical capacitor?

A parallel-plate capacitor has capacitance $C_{0}=8.00 \mathrm{pF}$ when there is air between the plates. The separation between the plates is 1.50 mm. (a) What is the maximum magnitude of charge Q that can be placed on each plate if the electric field in the region between the plates is not to exceed $3.00 \times 10^{4} \mathrm{V} / \mathrm{m}$? (b) A dielectric with K = 2.70 is inserted between the plates of the capacitor, completely filling the volume between the plates. Now what is the maximum magnitude of charge on each plate if the electric field between the plates is not to exceed $3.00 \times 10^{4} \mathrm{V} / \mathrm{m}$?

The circuit consists of a battery with an EMF of 2.5 V and three capacitors connected in parallel where C1=2.0 μF, C2=4.0 μF, and C3=6.0 μF. What charge is stored in the capacitors?

What is the potential difference across C2 when C1 = 5.0 μF, C2 = 15 μF, C3 = 30 μF, and V0 = 24V?

A spherical capacitor contains a charge of 3.30 nC when connected to a potential difference of 220 V. If its plates are separated by vacuum and the inner radius of the outer shell is 4.00 cm,

calculate the radius of the inner sphere

A spherical capacitor contains a charge of 3.30 nC when connected to a potential difference of 220 V. If its plates are separated by vacuum and the inner radius of the outer shell is 4.00 cm,

calculate the capacitance

A $12.5-\mu F$ capacitor is connected to a power supply that keeps a constant potential difference of 24.0 V across the plates. A piece of material having a dielectric constant of 3.75 is placed between the plates, completely filling the space between them. (a) How much energy is stored in the capacitor before and after the dielectric is inserted? (b) By how much did the energy change during the insertion? Did it increase or decrease?

A uniform electric field has magnitude $E$ and is directed in the negative $x$-direction. The potential difference between point $a$ (at $x=0.60 \mathrm{~m}$ ) and point $b$ (at $x=0.90 \mathrm{~m}$ ) is $240 \mathrm{~V}$.

A particle with charge $+4.20 \textrm{ nC}$ is in a uniform electric field E S directed to the left. The charge is released from rest and moves to the left; after it has moved $6.00 \textrm{ cm}$, its kinetic energy is $+2.20 \times 10^{-6} \textrm{ J}$. What are (a) the work done by the electric force, (b) the potential of the starting point with respect to the endpoint, and (c) the magnitude of $\vec{E}?$

A long metal cylinder with radius $a$ is supported on an insulating stand on the axis of a long. hollow, metal tube with radius $b$. The positive charge per unit length on the inner cylinder is $\lambda$, and there is an equal negative charge per unit length on the outer cylinder.(d) What is the potential difference between the two cylinders if the outer cylinder has no net charge?

Calculate the electric potential energy of the adenine-thymine bond, using the same combinations of molecules $(\mathrm{O}-\mathrm{H}-\mathrm{N}$ and $\mathrm{N}-\mathrm{H}-\mathrm{N}$ ) as in Exercise we saw earlier.

You and a partner are asked to complete a lab entitled "Oxides of Ruthenium" that is sched uled to extend over two lab periods. The first lab, which is to be completed by your partner, is devoted to carrying out composition al an alysis. In the second lab, you are to determine melting points. Upon going to lab you find two unlabeled vials, one containing a soft yellow substance and the other a black powder. You also find the following notes in your partner's notebook Compound 1: 76.0% Ru and 24.0% O (by mass), Compound 2 : 61.2% Ru and 38.8% O (by mass) Which compound is ionic?

Three equal $1.20 - \mu C$ point charges are placed at the corners of an equilateral triangle with sides 0.400 m long. What is the potential energy of the system? (Take as zero the potential energy of the three charges when they are infinitely far apart.)