Discuss and identify at least 2 examples the application of Gauss`s Law.

Q: Give me example of gauss' law

A: Gauss law helps us to find electric flux through a given closed circuit.

Q: charge configuration in cylindrical coordinates is given by p = (C/m³) in the whole space se Gauss…

A: Given a charge distribution in a cylindrical coordinates :       ρ=-43e-3r Cm3

Q: From the differentials of thermodynamic potentials: av dF = -SdT – PdV dG = -SdT + VdP dH = TdS +…

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Q: What is the formula of gauss law

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Q: why u is equal to infinity?

A: As per rules of image formation, image should occur at focus, then object should be placed at very…

Q: Convert the four Maxwell’s equations from point form to integral form

A: Point form

Q: An insulating sphere of radius a has a non-umikorm volume charge density p = 4 where A is a constant…

A: let Q be the charge on insulating sphereto calculate charge on inner sphereof conducting shell.first…

Q: What are the fluxes in ascending order through the Gaussian surfaces shown O A) I= || <|II < Iv O B)…

A: According to Gauss's law, the flux (Φ) of the electric field through any closed surface is given as…

Q: The charge of the condenser Q(t) = ,1(t)dt is the rate of change of the current other words, I = dQ…

A: The question can be easily solved by applying the basic concept of Laplace transformation

Q: Gaussian Gaussian surface for E, surface for Eout (a) () PR

A: According to Gauss theorem Flux linked with close Gaussian surface is 1/ε₀ times charge enclosed

Q: A hollow and open-ended cylinder of height 2h and radius b is centered on the origin and aligned…

A: Given Height of the cylinder = 2h Radius of the cylinder = b  Surface current            =K0 ϕ To…

Q: F = A +B'C which one of the followings is the representation of function F in terms of SOP form?

A: Steps to write a minimal form of function into canonical form SOP : 1. Find number of variables in…

Q: Give applications of Gauss's law.

A: The relation between the flux through any closed surface and the total charge enclosed with in the…

Q: A small metal ball of mass m and negative charge −q0 is released from rest at the point (0,0,d) and…

A: The magnitude of electric field is given as,

Q: What is the uncollided flux density 1 m from a 1 µCi point source of 137Cs if the source is…

A: Flux is independent of shape  It is same for all arbitrary shape. φ=qε0 ϕbeing the flux and q is the…

Q: Give the definition of the electromotive force (e.m.f.) E though the the flux linkage O and time t.…

A: Electromotive force is equal to rate of change of magnetic flux with respect to time. And it's…

Q: Applying Gauss's Law for Gravitation. Using Gauss's law for gravitation ∮g⃗ ⋅dA⃗ =−4(pi)GMenclosed…

A: Given:-              ∮g→.dA→ = -4π GMenclosed

Q: Which of the following is a correct interpretation of Gauss's Law? * In a closed Gaussian surface,…

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Q: Find the Dual of the function below and check if it is self-dual: F4 = (XY + YZ + ZX)

A: SOlution: given that F4 = (XY + YZ + ZX) to verify whether it is self dual.

Q: 2. Show that the following functions are harmonic, that is, that they satisfy Laplace's equation,…

A: So we have to prove the following functions are harmonic i.e they satisfy the Laplace equation.…

Q: A partide moving in a central field describes the spral orbit (U)=r,e Then, the force function is…

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Q: Ti Find the value of Stokes theorem for A = x ay +y a, + z az. The state of the function will be a.…

A: Using the stokes theorem , we will find curl of the function .  If curl of function is zero ;…

Q: Consider the Lennard-Jones potential between atoms in a solid material. Find the dependence of the…

A: The Lennard-Jones potential is given by, V=4Eσx12-σx6 where E is the depth of the potential well or…

Q: A hemispherical bowl of radius a is held fixed with its rim upwards and horizontal. A particle of…

A: Lagrangian is nothing but the difference between kinetic energy and the potential energy of an…

Q: Two mass points of mass m1 and m2 are connected by a string passing through a hole in a smooth table…

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Q: A point particle moves in space under the influence of a force derivable from a generalized…

A: Classical Mechanics

Q: If a particle of mass m is in a potential that is only a function of coordinates, calculate the…

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Q: Give me the meaning of gauss' law

A: The surface integration of electric field over any closed surface =total charge enclosed by the…

Q: Calculate the Planar Packing Factor (in PERCENT) of the (100) plane of FCC.

A: To find = Planar packaging factor of FCC (100)

Q: When is Q(hat) Hermitian?

A: To explain: An operator can be hermitian on what condition.

Q: Prove that AB, C -{ÂB‚C} + ({‚ĉ} - [A,C))B = 0, given that the commutator of X and Ý is denoted X,…

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Q: A system of particles its reduced mass is given by u moves in a central force F(r). (a) low, find…

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Q: Assuming that the earth is homogeneous spherical body with radius R, show that its mean density 3g…

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Q: Explain the three different forms of symmetry and why those are important to use Gauss law

A: Gauss's law helps to calculate the total flux due to charge distribution. In mathematical form,…

Q: Find the electrical flux through each of the four closed Gaussian surfaces A, B, C, and D shown in…

A: ∵ flux through a closed surface is independent of its shape because it is a numbers of filed lines…

Q: In Poincare transformation if scalar field is invariant under translation, then prove that generator…

A: In this question we have to answer related to Poincare Transformation.Please give positive feedback…

Q: In spherical coordınates, p = 4 µC/m³ for 0 <r s2 mm, p = 32 x 10-13-3 for 2 <r<4 mm, and p = 0…

A: Given that:ρ=4×10-6 C/m3    for 0≤r≤2 mmρr=32×10-15r-3 C/m3    for 2≤r≤4 mmρ==0 for r≥4 mm

Q: A block having mass m and charge +Q is connected to an insulating spring having a force constant k.…

A: Hey, since there is multiple subpart question posted, we will answer first three questions. If you…

Q: What do you mean by Harmonic ascillator. Prove that the Hamiltonian tor Harmonic oscillator can be…

A: A harmonic oscillator,  Hamiltonian of harmonic oscillator, H = ?

Q: A hemispherical bowl of radius a is held fixed with its rim upwards and horizontal. A particle of…

A: Lagrangian of a system is the difference between kinetic energy and potential energy of that system.…

Q: • Assuming that the earth is homogeneous spherical body with radius R, show that its mean density 3g…

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Q: Consider an Ising model of 100 elementary dipoles. Suppose you wish to calculate the partition…

A: Given: The number of elementary models is N=100. The partition function per second is z=1 billion.…

Q: 5.35 PQ What are the shortcomings of describing a flow field using the Lagrangian description?

A: The distribution of the density and velocity of a fluid over space and time are called flow field.…

Q: Q A parricle of mass m is projecred to the right with initial kineric Energy To subjecr Fo F(x) =…

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Q: 5.34 PQ Explain the differences between the Eulerian and Lagrangian descriptions of a flow field.

A: Instead of tracking individual fluid particles, an Eulerian description of fluid flow focuses on a…

Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.