Please write clearly the formulas and concepts behind it.
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Please write clearly the formulas and concepts behind it. 7. Calculate the electric and magnetic fields...
Please write clearly the formulas and concepts behind it. I. (a) Prove that the force F--μ¡...
Please write clearly the formulas and concepts behind it.
I. (a) Prove that the force F--μ¡ acting on a simple harmonic oscillator is conservative. (5 marks) (5 marks) Here i is the unit vector along the x-axis. (b) Find the potential energy of a simple harmonic oscillator.
Please write clearly the formulas and concepts behind it. 6. Sun light is normally incident on...
Please write clearly the formulas and concepts behind it.
6. Sun light is normally incident on the surface of water with index of refraction n 1.33. (a) Find the energy reflection and transmission coefficients R and T. (R+T= 1) (5 marks) (b) If the incident flux is 1 kW/m', what is the pressure that sun light exerts on the surface of (5 marks) water?
Please write clearly the formulas and concepts behind it. 2. Two trains each moving with a...
Please write clearly the formulas and concepts behind it.
2. Two trains each moving with a constant velocity approach each other along a straight line. At a certain moment a man on the platform finds that the distance between the two trains is L and the two trains are going to collide with each other in a time 5L/7c. On the other hand another observer on one of the train sees the other train approaching him with a velocity 35cl37....
how did we get the following equation (1.9) from maxwells equations at e at where p is the density of free charges and j is the density of currents at a point where the electric and magnetic fie...
how
did we get the following equation (1.9) from maxwells
equations
at e at where p is the density of free charges and j is the density of currents at a point where the electric and magnetic fields are evaluated. The parameters and are constants that determine the property of the vacuum and are called the electric permittivity and magnetic permeability respectively The parameter c-1/olo and its numerical value is equal to the speed of light in vacuum,c 3 x...
. 1. The relations for the potential, electric and magnetic fields, and time averaged intensity a...
. 1. The relations for the potential, electric and magnetic fields, and time averaged intensity are written in terms of spherical coordinates (cos θ pow ___ (_) sin[w(t-r/c)] V(r, θ, t) Scalar Potential: Hopow ATT -pop Α(r, θ,t) -sin[w(t-r/c)]2 Vector Potential: μοΡου-(-) cos[w(t-r/c)ja Electric Field: Ε--7V (3) 4π 7" Magnetic Field: B Vx A- 〈S) = (ww) sn-2- Intensity: Express these relationships in "coordinate-free" form, in which one is not committed to the spherical coordinate system. As an example, Po...
4. We know from electrostatics that if we have a scalar electrostatic potential V, then there exists an electric field...
4. We know from electrostatics that if we have a scalar electrostatic potential V, then there exists an electric field that satisfies: Of course, not all vector fields can be written as the gradient of a scalar function. (a) Show that the electric field given below is not the result of an electrostatic potential (b) Just because this electric field can't come from an electrostatic potential, it doesn't mean it can't exist - it just can't be created by static...
1. In a region of space free of currents, the electric and magnetic fields at t...
1. In a region of space free of currents, the electric and magnetic fields at t 0 are determined to be: where a is a constant and is a unit vector in the y-direction. (a) What is the charge density at t-0, p(F,0)? (b) Caleulate the magnetic field as a function of tme (c) Calculate the electric field as a function of time
We know from electrostatics that if we have a scalar electrostatic potential V, then there exists an electric field tha...
We know from electrostatics that if we have a scalar electrostatic potential V, then there exists an electric field that satisfies: Of course, not all vector fields can be written as the gradient of a scalar function. (a) Show that the electric field given below is not the result of an electrostatic potential. E(x, y, z) = ( 3.0m,2 ) ( yi-TJ (b) Just because this electric field can't come from an electrostatic potential, it doesn't mean it can't exist...
Could you please answer both and show work? 1.13.10 With E the electric field and A...
Could you please answer both and show work?
1.13.10 With E the electric field and A the magnetic vector potential, show that [E + aA/ai] is irrotational and that therefore we may write 0t 1.13.11 The total force on a charge q moving with velocity v is Using the scalar and vector potentials, show that Exercise 1.13.10
Q5. Consider a Lagrangian for some scalar field φ interacting with electric and magnetic fields in...
Q5. Consider a Lagrangian for some scalar field φ interacting with electric and magnetic fields in the following way: AL where F μν €μυρσ ρσ/2. Obtain the Maxwell equations in vector form, and show that two of them are same as in regular EM and two are different. This theory is supposed to describe ǎ hitherto undetected particle called the "axion", a possible candidate for dark matter (15 pts).
Please write clearly the formulas and concepts behind it.
I. (a) Prove that the force F--μ¡ acting on a simple harmonic oscillator is conservative. (5 marks) (5 marks) Here i is the unit vector along the x-axis. (b) Find the potential energy of a simple harmonic oscillator.
Please write clearly the formulas and concepts behind it.
6. Sun light is normally incident on the surface of water with index of refraction n 1.33. (a) Find the energy reflection and transmission coefficients R and T. (R+T= 1) (5 marks) (b) If the incident flux is 1 kW/m', what is the pressure that sun light exerts on the surface of (5 marks) water?
Please write clearly the formulas and concepts behind it.
2. Two trains each moving with a constant velocity approach each other along a straight line. At a certain moment a man on the platform finds that the distance between the two trains is L and the two trains are going to collide with each other in a time 5L/7c. On the other hand another observer on one of the train sees the other train approaching him with a velocity 35cl37....
how
did we get the following equation (1.9) from maxwells
equations
at e at where p is the density of free charges and j is the density of currents at a point where the electric and magnetic fields are evaluated. The parameters and are constants that determine the property of the vacuum and are called the electric permittivity and magnetic permeability respectively The parameter c-1/olo and its numerical value is equal to the speed of light in vacuum,c 3 x...
. 1. The relations for the potential, electric and magnetic fields, and time averaged intensity are written in terms of spherical coordinates (cos θ pow ___ (_) sin[w(t-r/c)] V(r, θ, t) Scalar Potential: Hopow ATT -pop Α(r, θ,t) -sin[w(t-r/c)]2 Vector Potential: μοΡου-(-) cos[w(t-r/c)ja Electric Field: Ε--7V (3) 4π 7" Magnetic Field: B Vx A- 〈S) = (ww) sn-2- Intensity: Express these relationships in "coordinate-free" form, in which one is not committed to the spherical coordinate system. As an example, Po...
4. We know from electrostatics that if we have a scalar electrostatic potential V, then there exists an electric field that satisfies: Of course, not all vector fields can be written as the gradient of a scalar function. (a) Show that the electric field given below is not the result of an electrostatic potential (b) Just because this electric field can't come from an electrostatic potential, it doesn't mean it can't exist - it just can't be created by static...
1. In a region of space free of currents, the electric and magnetic fields at t 0 are determined to be: where a is a constant and is a unit vector in the y-direction. (a) What is the charge density at t-0, p(F,0)? (b) Caleulate the magnetic field as a function of tme (c) Calculate the electric field as a function of time
We know from electrostatics that if we have a scalar electrostatic potential V, then there exists an electric field that satisfies: Of course, not all vector fields can be written as the gradient of a scalar function. (a) Show that the electric field given below is not the result of an electrostatic potential. E(x, y, z) = ( 3.0m,2 ) ( yi-TJ (b) Just because this electric field can't come from an electrostatic potential, it doesn't mean it can't exist...
Could you please answer both and show work?
1.13.10 With E the electric field and A the magnetic vector potential, show that [E + aA/ai] is irrotational and that therefore we may write 0t 1.13.11 The total force on a charge q moving with velocity v is Using the scalar and vector potentials, show that Exercise 1.13.10
Q5. Consider a Lagrangian for some scalar field φ interacting with electric and magnetic fields in the following way: AL where F μν €μυρσ ρσ/2. Obtain the Maxwell equations in vector form, and show that two of them are same as in regular EM and two are different. This theory is supposed to describe ǎ hitherto undetected particle called the "axion", a possible candidate for dark matter (15 pts).
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