Briefly describe the nature of the charges developed on the surface and within the volume of the dielectric materials placed inside the uniform electric field. Also describe the mechanism involved.

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Chapter1: Units, Trigonometry. And Vectors
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Briefly describe the nature of the charges developed on the surface and
within the volume of the dielectric materials placed inside the uniform
electric field. Also describe the mechanism involved.
Suppose a vector field V is represented as (2xz+3y²)ĵ + 4yz² k. Check
the Stoke's Theorem on the square surface of unit length drawn in the
YZ- plane.
A plane electro-magnetic wave is crossing through a material constructed
from a metal. Derive an expression for the distance after which the
amplitude of the wave reduces by ÷th.
The space between the plates of the parallel plate capacitor is filled with
two slabs of linear dielectric material. Each slab has the thickness a so
that the total distance between the plates is 2a. The first slab has the value
of dielectric constant as 2 and the second slab has dielectric constant as
1.5. The free charge density on the top surface is o and on the bottom
surface is -o. Find out the value of polarization on each slab. Also find
out the potential difference between the plates along with the location and
amount of all bound charges.
What do you understand by “Quantum Tunnelling"? List any two
applications where this effect is useful.
Consider an electron which is trapped in the second excited state of one
dimensional potential well having width 0.15 nano-meters. Evaluate the
uncertainty Ax in the position of the electron.
(Note that the uncertainty 4x = J
|(<x² > - < x >?) is defined in
terms of standard deviation).
Transcribed Image Text:Briefly describe the nature of the charges developed on the surface and within the volume of the dielectric materials placed inside the uniform electric field. Also describe the mechanism involved. Suppose a vector field V is represented as (2xz+3y²)ĵ + 4yz² k. Check the Stoke's Theorem on the square surface of unit length drawn in the YZ- plane. A plane electro-magnetic wave is crossing through a material constructed from a metal. Derive an expression for the distance after which the amplitude of the wave reduces by ÷th. The space between the plates of the parallel plate capacitor is filled with two slabs of linear dielectric material. Each slab has the thickness a so that the total distance between the plates is 2a. The first slab has the value of dielectric constant as 2 and the second slab has dielectric constant as 1.5. The free charge density on the top surface is o and on the bottom surface is -o. Find out the value of polarization on each slab. Also find out the potential difference between the plates along with the location and amount of all bound charges. What do you understand by “Quantum Tunnelling"? List any two applications where this effect is useful. Consider an electron which is trapped in the second excited state of one dimensional potential well having width 0.15 nano-meters. Evaluate the uncertainty Ax in the position of the electron. (Note that the uncertainty 4x = J |(<x² > - < x >?) is defined in terms of standard deviation).
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