the total surface charge on the inner surface of both plates must of course be −q (why?)

What is the charge on the inner surfaces of the plates?

The inner surfaces of the two plates have surface charge densities + σ and - σ . The other surfaces are without charge. The electric field has a magnitude of : Two infinitely long parallel conducting plates having surface charge densities +σ and −σ respectively are separated by a small distance.

What is the potential difference between two plates of charge?

If the charge on each plate has a magnitude of 4 × 10^−6 C the potential difference across the plates is approximately: Two conducting spheres have radii of R1 and R2, with R1 greater than R2. If they are far apart the capacitance is proportional to:

How do you find the charge density of a charged plate?

The field of a charged plate, in vacuum, will always be E = σ ϵ 0, where σ is the surface charge density on the side of the plate where the field is measured. But, for a given q and A, the charge density will depend on the distribution of charge between two surfaces of the plate.

What happens to the electric field when two charged plates are involved?

Let’s look at the electric field when two charged plates are involved. According to Coulomb’s law, the electric field around a point charge reduces as the distance from it rises. However, a homogeneous electric field may be created by aligning two infinitely large conducting plates parallel to each other.

What is the charge on the inner surface of the shell?

zero* The electric field inside the conducting shell is zero. (B) There can be no net charge inside the conductor, therefore the inner surface of the shell must carry a net charge of -Q1, and the outer surface must carry the charge +Q1 + Q2, so that the net charge on the shell equals Q2.

What is the surface charge density on the inner surface of the conductor?

Since the Electric field vanishes everywhere inside the volume of a good conductor, its value is zero everywhere on the Gaussian surface we have considered. So the surface integral is zero. This is the total charge induced on the inner surface.

What are the surface charge densities on the inside and the outside surfaces of the outer conductor?

(a) Since the electric field inside a conductor must be zero, the charge must all reside on the outer surface. The linear charge density on the inner surface is zero and on the outer surface it is +1.

What is the surface charge density on the inner and outer surface of the sphere?

Since the total flux through the surface is zero, the total enclosed charge is zero and therefore the charge on the inner surface must be q (to cancel the charge −q in the center). Thus the total charge on the outer surface is Q−q. The outer charge density is therefore (Q−q)/4πR2 .

How do you calculate the surface charge density between two plates?

The magnitude of the electrical field in the space between the parallel plates is E=σ/ϵ0, where σ denotes the surface charge density on one plate (recall that σ is the charge Q per the surface area A).

How do you calculate the surface charge density of a conductor?

If q is the charge and A is the area of the surface, then the Surface Charge Density is given by; σ=qA, In electromagnetism, it is expressed as the quantity of electric charge per unit volume of one, two, or even three-dimensional space.

What is the total charge of the outside surface of the conductor a?

The total charge enclosed by the Gaussian surface must be zero. This requires a charge of –q units to be induced on the inner surface of the hollow conductor A. But an equal and opposite charge +q units must appear on the outer surface of conductor A, so that the total charge on the outer surface of A is Q + q.

What is the charge on the inner surface of the smaller spherical conducting shell under static conditions the charge on a conductor resides on the surface of the conductor?

−2 pCWhat is the charge on the inner surface of the smaller spherical conducting shell, 1.2 cm from the 2 pC point charge? Under static conditions, the charge on a conductor resides on the surface of the conductor. Correct answer: −2 pC.

What is the relation between field magnitude just outside a conductor and the surface charge density on the surface?

The magnitude of the electric field just outside a charged conductor is proportional to the surface charge density σ.

How much excess charge is on the inner surface of the spherical shell?

Excess charges are always on the surface of the conductors. A spherical conducting shell has an excess charge of +10 C. A point charge of −15 C is located at center of the sphere. Inside a conductor, E = 0 under static equilibrium!

The Attempt at a Solution

I am confused about how I can find the charge densities on each surface. What I think is that the 5C will spread to both surfaces of plate one so σ1=σ2=5C and σ3=σ4=-6C. However I realize there may be induction and also I am not sure if we can assume the plates are enclosed surfaces... Although they do go to infinity.

Answers and Replies

You wrote, "What I think is that the 5C will spread to both surfaces of plate one so σ1=σ2=5C and σ3=σ4=-6C." Yes I think the charge will spread but as charge can't be created or destroyed, what happens I think is that the charges will spread to both sides of the plates such that (σ1+σ2)A=5C and (σ3+σ4)A=-6C where A is the area of the plate.