Q3. Two square plates of sides l are placed parallel to each other with separation d. You may assume d is much less than 1. The plates carry uniformly distributed static charges +Qo and -Qo. A block of metal has width I, length I, 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. 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 K → ∞. |+Qo (a) Calculate the stored energy in the system as a function of x.

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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(b) Find the direction and magnitude of the force that acts on the metallic block.
(c) The area of the advancing front face of the block is essentially equal to ld. Considering the force on the
block as acting on this face, find the stress (force per area) on it.
Transcribed Image Text:(b) Find the direction and magnitude of the force that acts on the metallic block. (c) The area of the advancing front face of the block is essentially equal to ld. Considering the force on the block as acting on this face, find the stress (force per area) on it.
Q3. Two square plates of sides l are placed parallel to each other with separation d. You may assume d is
much less than 1. The plates carry uniformly distributed static charges +Qo and -Qo. A block of metal has
width 1, length 1, 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. 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 K → 0.
+ + + + +
+Qo
(a) Calculate the stored energy in the system as a function of x.
Transcribed Image Text:Q3. Two square plates of sides l are placed parallel to each other with separation d. You may assume d is much less than 1. The plates carry uniformly distributed static charges +Qo and -Qo. A block of metal has width 1, length 1, 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. 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 K → 0. + + + + + +Qo (a) Calculate the stored energy in the system as a function of x.
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