The electric and magnetic fields for this plane wave.

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Answer 1

Question

Chapter 11, Problem 11.30P

(a)

To determine

The electric and magnetic fields for this plane wave.

(b)

To determine

Show that the perturbation is given by H'^(t)=e2imωeik⋅rE0⋅p^e−iωt−e2imωe−ik⋅rE0⋅p^eiωt plus a term proportional to E02 that can be ignored.

(c)

To determine

Show that the matrix element for the absorption is Vba=−ωoω℘E0, with the electromagnetic wave polarized along the z direction. And compare it with Equation 11.41 and discuss whether the difference in the equation would affect the calculations in Section 11.2.3 or 11.3.

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Consider a single square loop of wire of area A carrying a current I in a uniform magnetic field of strength B. The field is pointing directly up the page in the plane of the page. The loop is oriented so that the plane of the loop is perpendicular to the plane of the page (this means that the normal vector for the loop is always in the plane of the page!). In the illustrations below the magnetic field is shown in red and the current through the current loop is shown in blue. The loop starts out in orientation (i) and rotates clockwise, through orientations (ii) through (viii) before returning to (i). (i) Ø I N - - I N - (iii) (iv) (v) (vii) (viii) a) [3 points] For each of the eight configurations, draw in the magnetic dipole moment vector μ of the current loop and indicate whether the torque on the dipole due to the magnetic field is clockwise (CW), counterclockwise (CCW), or zero. In which two orientations will the loop experience the maximum magnitude of torque? [Hint: Use the…

Answer 2

Question

Chapter 11, Problem 11.30P

(a)

To determine

The electric and magnetic fields for this plane wave.

(b)

To determine

Show that the perturbation is given by H'^(t)=e2imωeik⋅rE0⋅p^e−iωt−e2imωe−ik⋅rE0⋅p^eiωt plus a term proportional to E02 that can be ignored.

(c)

To determine

Show that the matrix element for the absorption is Vba=−ωoω℘E0, with the electromagnetic wave polarized along the z direction. And compare it with Equation 11.41 and discuss whether the difference in the equation would affect the calculations in Section 11.2.3 or 11.3.

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Answer 3

Question

Chapter 11, Problem 11.30P

(a)

To determine

The electric and magnetic fields for this plane wave.

(b)

To determine

Show that the perturbation is given by H'^(t)=e2imωeik⋅rE0⋅p^e−iωt−e2imωe−ik⋅rE0⋅p^eiωt plus a term proportional to E02 that can be ignored.

(c)

To determine

Show that the matrix element for the absorption is Vba=−ωoω℘E0, with the electromagnetic wave polarized along the z direction. And compare it with Equation 11.41 and discuss whether the difference in the equation would affect the calculations in Section 11.2.3 or 11.3.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 11, Problem 11.30P

(a)

To determine

The electric and magnetic fields for this plane wave.

(b)

To determine

Show that the perturbation is given by H'^(t)=e2imωeik⋅rE0⋅p^e−iωt−e2imωe−ik⋅rE0⋅p^eiωt plus a term proportional to E02 that can be ignored.

(c)

To determine

Show that the matrix element for the absorption is Vba=−ωoω℘E0, with the electromagnetic wave polarized along the z direction. And compare it with Equation 11.41 and discuss whether the difference in the equation would affect the calculations in Section 11.2.3 or 11.3.

Expert Solution & Answer

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Answer 5

Chapter 11, Problem 11.30P

(a)

To determine

The electric and magnetic fields for this plane wave.

(b)

To determine

Show that the perturbation is given by H'^(t)=e2imωeik⋅rE0⋅p^e−iωt−e2imωe−ik⋅rE0⋅p^eiωt plus a term proportional to E02 that can be ignored.

(c)

To determine

Show that the matrix element for the absorption is Vba=−ωoω℘E0, with the electromagnetic wave polarized along the z direction. And compare it with Equation 11.41 and discuss whether the difference in the equation would affect the calculations in Section 11.2.3 or 11.3.

Answer 6

Chapter 11, Problem 11.30P

(a)

To determine

The electric and magnetic fields for this plane wave.

Answer 7

Chapter 11, Problem 11.30P

(a)

To determine

The electric and magnetic fields for this plane wave.

Answer 8

(b)

To determine

Show that the perturbation is given by H'^(t)=e2imωeik⋅rE0⋅p^e−iωt−e2imωe−ik⋅rE0⋅p^eiωt plus a term proportional to E02 that can be ignored.

Answer 9

(b)

To determine

Show that the perturbation is given by H'^(t)=e2imωeik⋅rE0⋅p^e−iωt−e2imωe−ik⋅rE0⋅p^eiωt plus a term proportional to E02 that can be ignored.

Answer 10

(c)

To determine

Show that the matrix element for the absorption is Vba=−ωoω℘E0, with the electromagnetic wave polarized along the z direction. And compare it with Equation 11.41 and discuss whether the difference in the equation would affect the calculations in Section 11.2.3 or 11.3.

Answer 11

(c)

To determine

Show that the matrix element for the absorption is Vba=−ωoω℘E0, with the electromagnetic wave polarized along the z direction. And compare it with Equation 11.41 and discuss whether the difference in the equation would affect the calculations in Section 11.2.3 or 11.3.

Answer 12

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Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 11.1 - Prob. 11.1P Ch. 11.1 - Prob. 11.2P Ch. 11.1 - Prob. 11.3P Ch. 11.1 - Prob. 11.4P Ch. 11.1 - Prob. 11.5P Ch. 11.1 - Prob. 11.6P Ch. 11.1 - Prob. 11.7P Ch. 11.1 - Prob. 11.8P Ch. 11.1 - Prob. 11.9P Ch. 11.3 - Prob. 11.10P

The electric and magnetic fields for this plane wave.

The electric and magnetic fields for this plane wave.

Show that the perturbation is given by H'^(t)=e2imωeik⋅rE0⋅p^e−iωt−e2imωe−ik⋅rE0⋅p^eiωt plus a term proportional to E02 that can be ignored.

Show that the matrix element for the absorption is Vba=−ωoω℘E0, with the electromagnetic wave polarized along the z direction. And compare it with Equation 11.41 and discuss whether the difference in the equation would affect the calculations in Section 11.2.3 or 11.3.

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