Question

Two square plates of sides ?, are placed parallel to each other with separation d, where d << ?. The plates carry uniformly distributed static charges +Q? and -Q?. A block of metal has width ? length ?, and thickness slightly less than d. It is inserted a distance x into the space between the plates. The charges on the plates remain uniformly distributed as the block slides in. This setup is shown in the Figure below. Calculate the stored energy (U) in the system as a function of x. (Hint: In a static situation, a metal prevents an electric field from penetrating inside it. The metal can be thought of as a perfect dielectric, with ? -> ?.) a. U = Q?²d²(? - x) / 2???² b. U = Q?²d(? - x) / 2???³ c. U = Q?²d(? - x) / 2???² d. U = Q?²d²(? - x) / 2???³ e. U = Q?d²(? - x) / 2???²

          Two square plates of sides ?, are placed parallel to each other with separation d, where d << ?. The plates carry uniformly distributed static charges +Q? and -Q?. A block of metal has width ? length ?, and thickness slightly less than d. It is inserted a distance x into the space between the plates. The charges on the plates remain uniformly distributed as the block slides in. This setup is shown in the Figure below.
Calculate the stored energy (U) in the system as a function of x.
(Hint: In a static situation, a metal prevents an electric field from penetrating inside it. The metal can be thought of as a perfect dielectric, with ? -> ?.)
a. U = Q?²d²(? - x) / 2???²
b. U = Q?²d(? - x) / 2???³
c. U = Q?²d(? - x) / 2???²
d. U = Q?²d²(? - x) / 2???³
e. U = Q?d²(? - x) / 2???²

Two square plates of sides ?, are placed parallel to each other with separation d, where d << ?. The plates carry uniformly distributed static charges +Q? and -Q?. A block of metal has width ? length ?, and thickness slightly less than d. It is inserted a distance x into the space between the plates. The charges on the plates remain uniformly distributed as the block slides in. This setup is shown in the Figure below.
Calculate the stored energy (U) in the system as a function of x.
(Hint: In a static situation, a metal prevents an electric field from penetrating inside it. The metal can be thought of as a perfect dielectric, with ? -> ?.)
a. U = Q?²d²(? - x) / 2???²
b. U = Q?²d(? - x) / 2???³
c. U = Q?²d(? - x) / 2???²
d. U = Q?²d²(? - x) / 2???³
e. U = Q?d²(? - x) / 2???²

Added by Bora A.

Question

Please give Ace some feedback