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I need help with Problem 3.
Problem 2: If one assumes that the electric field is...
3. When using a reference constituted by the principal axes of a birefringent crystal, the electric field component...
3. When using a reference constituted by the principal axes of a birefringent crystal, the electric field components of a plane wave (E. E E) = E(7,1)= Ë, e(k.F - ct) propagating in the direction (siny, 0, cosu), satisfy the following set of equations, 2 -Cos') E Sin'P CosY E 0 wave.k 21 -1) E = 0 wave & 2 ne Sin y) E, 0 SINY Cos'Y E + n where is the angle between the wave-vector k and the...
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...
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...
answer both please 3. (10 pts.) One often forgets the curl has a physical meaning. The...
answer both please
3. (10 pts.) One often forgets the curl has a physical meaning. The curl operator differs from the divergence field to produce another field. Since vectors are more operator in that it acts on a_ complicated than scalars it is important to understand the purpose of the curl operator. Let E (r.y, :) be some electric field. The mathematical expression for the curl of is written as ex ey e .az _ ax)s+(a --dy)互 az广ㄨ oy The...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
Need help with all 3 questions on Magnetostatics. 1) Two wires are parallel to each other....
Need help with all 3 questions on Magnetostatics. 1) Two wires are parallel to each other. They will be attracted to each other if: A) One wire carries a current in the negative direction and the other carries no current B) One wire carries a current in the positive direction and the other carries no current C) They carry equal currents but in the opposite direction D)They carry currents in the same direction, which do not need to be of...
Consider the motion of particle mass m and charge q in an electromagnetic field with electric...
Consider the motion of particle mass m and charge q in an electromagnetic field with electric field vector is E and the magnetic field vector is B. The force acting on the particle is given by the Lorentz equation F = qE + qv x B (assuming non-relativistic case, v<) ( a) If there is no electric field and the particle enters the magnetic field in a direction perpendicular to the lines of magnetic flux, show that the trajectory is...
Don't need more information 3. The field of a magnetic dipole located at the origin and...
Don't need more information
3. The field of a magnetic dipole located at the origin and oriented in the ż direction can be written as: B om 4ar3 (2 cos 0f +sin 00), where m is the magnitude of the magnetic dipole moment. a) Calculate the flux of the magnetic field through 2 direction, located at z=a. b) Calculate the flux of the magnetic field through a square of side length 2a oriented in the à direction, located at a...
[6] 2. In the previous problem, how long after switch is closed until the magnetic field...
[6] 2. In the previous problem, how long after switch is closed until the magnetic field is stable? Answer: (a) 1.38 ms. (6) 1.85 ms (c) 2.33 ms. (d) 2.79 ms. (e) 341 ms. (1) - [8] 3. An AC generator is connected to a circuit. The generator's emfis E(0) - 152 V sin(at). If the maximum current that results is 150 mA circuit, -5.01 x 10rad/s and the phase angle is -85.6 degrees, complete the following (0) = sin...
3. When using a reference constituted by the principal axes of a birefringent crystal, the electric field components of a plane wave (E. E E) = E(7,1)= Ë, e(k.F - ct) propagating in the direction (siny, 0, cosu), satisfy the following set of equations, 2 -Cos') E Sin'P CosY E 0 wave.k 21 -1) E = 0 wave & 2 ne Sin y) E, 0 SINY Cos'Y E + n where is the angle between the wave-vector k and the...
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...
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...
answer both please
3. (10 pts.) One often forgets the curl has a physical meaning. The curl operator differs from the divergence field to produce another field. Since vectors are more operator in that it acts on a_ complicated than scalars it is important to understand the purpose of the curl operator. Let E (r.y, :) be some electric field. The mathematical expression for the curl of is written as ex ey e .az _ ax)s+(a --dy)互 az广ㄨ oy The...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
Don't need more information
3. The field of a magnetic dipole located at the origin and oriented in the ż direction can be written as: B om 4ar3 (2 cos 0f +sin 00), where m is the magnitude of the magnetic dipole moment. a) Calculate the flux of the magnetic field through 2 direction, located at z=a. b) Calculate the flux of the magnetic field through a square of side length 2a oriented in the à direction, located at a...
[6] 2. In the previous problem, how long after switch is closed until the magnetic field is stable? Answer: (a) 1.38 ms. (6) 1.85 ms (c) 2.33 ms. (d) 2.79 ms. (e) 341 ms. (1) - [8] 3. An AC generator is connected to a circuit. The generator's emfis E(0) - 152 V sin(at). If the maximum current that results is 150 mA circuit, -5.01 x 10rad/s and the phase angle is -85.6 degrees, complete the following (0) = sin...
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