Show that for a dielectric material, (∂U/∂p)T= E-T(∂E/∂T)p where E and p are the electric field...

Show that for a dielectric material, (∂U/∂p)_T= E-T(∂E/∂T)_p where E and p are the electric field and dipole.

Expert Solution

Answer :-

Given data :-

A dielectric material

A dielectric a material is a substance that is a poor conductor of electricity but an efficient supporter of electrostatic field. If the flow of current between opposite electric charge poles is kept to a minimum while the electrostatic lines of flow are not impedded or interuppted an electrostatic field can store energy.

Example - includes porcelain (ceramic) mica, glass, plastics an the oxides of various metals.

- The electric dipole moment P of two charges +q and -q separated by a distance is a vector of magnitude p = q1 with a direction from the negative to the positive charge.

genius_generous answered 2 years ago

(1.) The electric field inside a parallel plate capacitor is E(t)=E0t3 where E0=100 N/C. If the...

(1.) The electric field inside a parallel plate capacitor is E(t)=E0t3 where E0=100 N/C. If the side length of the plates is l=10cm, what is the displacement current at t=4s 4.25x10-10 A 4.25x10-6 A 4.25x10-14 A 4.25x10-9 A (1.B) A parallel plate capacitor is made of two circular plates of radius r and has a displacement current Id=3/t2As2. What is the magnitude of the electric field between the plates? 3/πr2ε0t N/C -3/πr2ε0t N/C -3/πr2ε0t2 N/C 3/πr2ε0t2 N/C

Q/ If E is a macroscopic field inside the dielectric , and consider an atom at...

Q/ If E is a macroscopic field inside the dielectric , and consider an atom at position R , Draw a sphere of radius ℓ ( Lorentz sphere) about R. suppose( l » a interatomic spacing ). The contribution to the microscope field at R from induced dipoles on other atoms can be divided in two parts ; For atoms inside sphere For atoms outside sphere For the two cases prove that the local field at center of sphere is...

(a) Use Gauss’s Law for the electric field to show that the electric field is discontinuous...

(a) Use Gauss’s Law for the electric field to show that the electric field is discontinuous at the charged surface of a conducting plane. (b) Devise a way to apply this same approach to a patch on a charged spherical conductor. Hint: Draw a diagram with the electric field so you can specify the shape of the surface.

1. Find the minimal cover of E, where E= { P → QRST, RS → T...

1. Find the minimal cover of E, where E= { P → QRST, RS → T } (Use Algorithm 15.2)

EXPLAIN ANSWERS PLEASE The electric field intensity in a source-free, dielectric medium is given as ?...

EXPLAIN ANSWERS PLEASE The electric field intensity in a source-free, dielectric medium is given as ? = 2?0 sin(??) ?????⁡?̂ V/m. Determine (a) the magnetic field intensity using Maxwell’s equation from Faraday’s law, and (b) the displacement current density in the medium.

I want you to solve the below statement that about Electric field and dielectric refraction. The...

I want you to solve the below statement that about Electric field and dielectric refraction. The question is to Explain the behavior of electric field in the interface of two insulation materials of different relative permittivity.

consider a system with the impulse response h(t) = e −t [u(t) − u(t − 2)]....

consider a system with the impulse response h(t) = e −t [u(t) − u(t − 2)]. (It's exponential function) Let the input signal x(t) be x(t) = 1 if 0 ≤ t < 1, x(t) = −1 if 1 ≤ t < 2, x(t) = 0 otherwise. (a) Determine the system output y(t). (b) (20) Plot y(t) using a computer and specify the maximum and minimum.

A. If the electric field E is zero at a given point, must the electric potential...

A. If the electric field E is zero at a given point, must the electric potential V also equal zero at that point? Explain your reasoning and give an example to prove your answer. B. A positive charge moves in the direction of a uniform electric field. Does its potential energy increase or decrease? Does the electric potential increase or decrease? Explain your reasoning. C. If the electric potential at some point is zero, does it follow that there are...

Calculus dictates that (∂U/∂V) T,Ni = T(∂S/∂V)T,Ni – p = T(∂p/∂T)V,Ni – p (a) Calculate (∂U/∂V)...

Calculus dictates that (∂U/∂V) T,Ni = T(∂S/∂V)T,Ni – p = T(∂p/∂T)V,Ni – p (a) Calculate (∂U/∂V) T,N for an ideal gas [ for which p = nRT/V ] (b) Calculate (∂U/∂V) T,N for a van der Waals gas [ for which p = nRT/(V–nb) – a (n/V)2 ] (c) Give a physical explanation for the difference between the two. (Note: Since the mole number n is just the particle number N divided by Avogadro’s number, holding one constant is equivalent...

Electric field mapping Lab Physics 2212k 1) Describe the central electric field (E) shape in the...

Electric field mapping Lab Physics 2212k 1) Describe the central electric field (E) shape in the case of two parallel plates. 2) Do the distances between adjacent equipotential lines between the two parallel plates, approximately measure the same? Calculate an average value for the magnitude of the electric field between the plates. 3) Does the electric field extend beyond the edges of the plates in the two parallel plates experiment? 4) Is it possible for two different equipotential lines or...

Question