Derive Laplace law for a spherical membrane.

Q: Give me example of gauss' law

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

Q: What is the formula of gauss law

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

A: Point form

Q: Find the elestric freld at the poiat P for setup bele Exelain the diference La) and Lc)

A: SOlution:' as given  to find the electriic field at point P

Q: Find the radius of the orbit of a synchronous satellite that circles the Earth. (A synchronous…

A:

Q: Define the term s Boltzmann’s constant?

A: The relation between the average kinetic energy and the absolute temperature of the gas particle is…

Q: Find the radius of the orbit of a synchronous satellite that circles the Earth. (A synchronous…

A: A synchronous satellite is moving around the earth in an orbit of radius Rs. Let Re be the radius of…

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: Can Gauss's theorem reflect the distribution characteristics of field sources in a Gaussian surface?…

A: Yes, Gauss's theorem can reflect the distribution characteristics of field sources in a Gaussian…

Q: Find the flux through a spherical Gaussian surface of radius a = 1 m surrounding a charge of 8.85…

A: Given that total charge enclosed, Q = 8.85 pC = 8.85×10-12 C Gauss's law states that the total flux…

Q: What is the radius of gyration of a thin disc of radius 4 cm about a diameter?

A: Radius of thin disc is r=4 cm

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: Derive the formula P=IV

A: Solution: According to Jouls's law of heating, H = I2Rt where H = heat, R = resistance, t = time…

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: Generate a plot of the Maxwell-Boltzmann distribution for N2 with a root mean square speed of 480…

A:

Q: What are stokes and anti stokes peaks, sketch them and discuss which one is normally higher and why

A:

Q: What might desks, bridges, buildings, trees, and mountains have in common—at least in the eyes of a…

A: The features common to desk, bridge, buildings, trees and mountains are, They are generally immobile…

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: flux through a sphere

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Q: Rewrite the distance modulus expression in terms of parallax p.

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Q: Why does the U.S. often launch from the east coast of Florida?

A: USA often launch rockets from the east coast of florida

Q: Is Gauss's law applicable to free space, or medium or both

A: No Gauss's law is not applicable  for free space because according to Gauss's law he flux of…

Q: What are the maximum and minimum values of the flux in the preceding question?

A:

Q: The normal force is exerted by a surface at an angle that is A to the surface.

A: The normal force is exerted by a surface at an angle that is perpendicular to the surface.

Q: Suppose the div F = 0 in a region enclosed by two concentric spheres, S, outside of S2. The outward…

A: According the divergence law, div F=△·F=0 The volume integral of △·F is given as,…

Q: In the text, we showed that if the Clausius statement is false, the Kelvin statement must also be…

A: Kelvin statement states that for an engine working in a cyclic process, it is impossible to…

Q: The Hubble Space Telescope is in low-Earth orbit. What is the magnitude of stellar aberration…

A: 1) See, By taking the spectrum of a distant object, such as a galaxy, astronomers can see a shift in…

Q: What is dirac notation?

A: Most of the calculations in quantum mechanics make avail of two different mathematical approaches…

Q: State the Rodrigues' Formula for Hermite Polynomials?

A: The Rodrigues formula for Hermite polynomial is given by; Hnx=-1nex2ddxne-x2

Q: Can you show how to get the resultant vvector?

A: Determine the net force in the horizontal direction.

Q: Prove that the polarization flux through a closed surface is directly proportional to the enclosed…

A: The polarization flux through a closed surface is directly proportional to the enclosed bound…

Q: Let the mass of the sun be denoted by Ms and its radiative power P. Determine the smallest possible…

A: Consider a dust particle with radius r and density ρ. Determine the mass of the particle. Write the…

Q: Write down the integral and differential forms of Gauss' law in a dielec- tric, defining all…

A: Integral form of Gauss law: Consider two parallel-plate conductors having plane area S, separation d…

Q: Why do we prefer to use a combined plane change when going from a low-Earth parking orbit to a…

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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: Consider the special shape pictured in the diagram below. It is a cylinder, centered on the origin…

A: In this question we have to answer what operations were used while determining the magnitude of the…

Q: i.j%3Dj-i%3D0, prove algebraically that Ả · B = A,B, + A,By.

A: Given values:- A→=Axi^+Ayj^ ------(1) B→=Bxi^+Byj^ ------(2) i^.i^=j^.j^=1 ------(3) i^.j^=j^.i^=0…

Q: What is the electric flux through S4?

A: Given, There are different close surface which contains some charges we need to find flux through S4…

Q: "Use the surface integral in​ Stokes' Theorem to calculate the circulation of the field…

A: GivenF=x2i+4xj+z2kthe ellipse25x2+9y2=10

Q: Gauss’s divergence theorem is a relation between Select one: a. Volume & surface integration b.…

A: Gauss's divergence theorem relates the flux through a closed surface to the divergence of the field…

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: The condition for a sphere to be considered as an isolated sphere is that the outer sphere radius…

A: Isolated charged sphere is independent of the other charged spheres .

Q: 1. Using index notation, demonstrate the validity of the assertion made in lecture: Ok Qij = E jk| 2…

A:

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.