Two large parallel conducting plates carrying opposite charges of equal magnitude are separated by 2.20 )if the surface charge density for each plate has magnitude 47.0 nc/m2, what is the magnitude of e_field in the region between the plates? (b)what is the potential difference between the two plates? (c)if the separation between the plates is doubled while the surface charge density is kept constant at the value in part (a), what happens to the magnitude of the electric field? (d)if the separation between the plates is doubled while the surface charge density is kept constant at the value in part (a), what happens to the potential difference?

(a) 5310.7 V/m

The magnitude of the electric field between two parallel plates is given by

where

is the surface charge density

is the vacuum permittivity

In this problem,

So the electric field here is

(b) 116.8 V

The potential difference between the two plates is given by

where

E is the magnitude of the electric field

d is the separation between the plates

Here we have

E = 5310.7 V/m

d = 2.20 cm = 0.022 m

So the potential difference is

(c) The electric field does not change

Explanation:

As stated in part (a), the magnitude of the electric field is given by

where

is the surface charge density

is the vacuum permittivity

as we can see, the value of E depends only on the surface charge density, which is kept constant in this case, so the value of the electric field strength does not change.

(d) The potential difference doubles (233.6 V)

In this situation, the separation between the plates is doubled, so:

d' = 2 d

The potential difference depends linearly on the separation between the plates:

V = Ed

where

E is the magnitude of the electric field (which is kept constant)

d is the separation between the plates

So the new potential difference will be

which means that the potential difference will double:

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia