The electric and magnetic fields for standing wave is given by, E y ( x , t ) = − 2 E max sin k x sin w t and, B z ( x , t ) = − 2 B max cos k x cos w t will satisfy the wave equation, ∂ 2 E y ( x , t ) ∂ x 2 = ∈ 0 μ 0 ∂ 2 E y ( x , t ) ∂ t 2 .

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Answer 1

Question

Chapter 32, Problem 36E

(a)

To determine

To show: The electric and magnetic fields for standing wave is given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt will satisfy the wave equation, ∂2Ey(x,t)∂x2=∈0μ0∂2Ey(x,t)∂t2 .

(b)

To determine

To show: The electric and magnetic fields for standing wave given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt satisfy the wave equation of the form ∂Ey(x,t)∂x=−∂Bz(x,t)∂t and −∂Bz(x,t)∂x=∈0μ0∂Ey(x,t)∂t respectively.

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Answer 2

Question

Chapter 32, Problem 36E

(a)

To determine

To show: The electric and magnetic fields for standing wave is given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt will satisfy the wave equation, ∂2Ey(x,t)∂x2=∈0μ0∂2Ey(x,t)∂t2 .

(b)

To determine

To show: The electric and magnetic fields for standing wave given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt satisfy the wave equation of the form ∂Ey(x,t)∂x=−∂Bz(x,t)∂t and −∂Bz(x,t)∂x=∈0μ0∂Ey(x,t)∂t respectively.

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Answer 3

Question

Chapter 32, Problem 36E

(a)

To determine

To show: The electric and magnetic fields for standing wave is given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt will satisfy the wave equation, ∂2Ey(x,t)∂x2=∈0μ0∂2Ey(x,t)∂t2 .

(b)

To determine

To show: The electric and magnetic fields for standing wave given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt satisfy the wave equation of the form ∂Ey(x,t)∂x=−∂Bz(x,t)∂t and −∂Bz(x,t)∂x=∈0μ0∂Ey(x,t)∂t respectively.

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Answer 4

Question

Chapter 32, Problem 36E

(a)

To determine

To show: The electric and magnetic fields for standing wave is given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt will satisfy the wave equation, ∂2Ey(x,t)∂x2=∈0μ0∂2Ey(x,t)∂t2 .

(b)

To determine

To show: The electric and magnetic fields for standing wave given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt satisfy the wave equation of the form ∂Ey(x,t)∂x=−∂Bz(x,t)∂t and −∂Bz(x,t)∂x=∈0μ0∂Ey(x,t)∂t respectively.

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Answer 5

Chapter 32, Problem 36E

(a)

To determine

To show: The electric and magnetic fields for standing wave is given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt will satisfy the wave equation, ∂2Ey(x,t)∂x2=∈0μ0∂2Ey(x,t)∂t2 .

(b)

To determine

To show: The electric and magnetic fields for standing wave given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt satisfy the wave equation of the form ∂Ey(x,t)∂x=−∂Bz(x,t)∂t and −∂Bz(x,t)∂x=∈0μ0∂Ey(x,t)∂t respectively.

Answer 6

Chapter 32, Problem 36E

(a)

To determine

To show: The electric and magnetic fields for standing wave is given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt will satisfy the wave equation, ∂2Ey(x,t)∂x2=∈0μ0∂2Ey(x,t)∂t2 .

Answer 7

Chapter 32, Problem 36E

(a)

To determine

To show: The electric and magnetic fields for standing wave is given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt will satisfy the wave equation, ∂2Ey(x,t)∂x2=∈0μ0∂2Ey(x,t)∂t2 .

Answer 8

(b)

To determine

To show: The electric and magnetic fields for standing wave given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt satisfy the wave equation of the form ∂Ey(x,t)∂x=−∂Bz(x,t)∂t and −∂Bz(x,t)∂x=∈0μ0∂Ey(x,t)∂t respectively.

Answer 9

(b)

To determine

To show: The electric and magnetic fields for standing wave given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt satisfy the wave equation of the form ∂Ey(x,t)∂x=−∂Bz(x,t)∂t and −∂Bz(x,t)∂x=∈0μ0∂Ey(x,t)∂t respectively.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 32 - Prob. 1DQ Ch. 32 - Prob. 2DQ Ch. 32 - Prob. 3DQ Ch. 32 - Prob. 4DQ Ch. 32 - Prob. 5DQ Ch. 32 - Prob. 6DQ Ch. 32 - Prob. 7DQ Ch. 32 - Prob. 8DQ Ch. 32 - Prob. 9DQ Ch. 32 - Prob. 10DQ

The electric and magnetic fields for standing wave is given by, E y ( x , t ) = − 2 E max sin k x sin w t and, B z ( x , t ) = − 2 B max cos k x cos w t will satisfy the wave equation, ∂ 2 E y ( x , t ) ∂ x 2 = ∈ 0 μ 0 ∂ 2 E y ( x , t ) ∂ t 2 .

To show: The electric and magnetic fields for standing wave is given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt will satisfy the wave equation, ∂2Ey(x,t)∂x2=∈0μ0∂2Ey(x,t)∂t2 .

To show: The electric and magnetic fields for standing wave given by, Ey(x,t)=−2Emaxsinkxsinwt and, Bz(x,t)=−2Bmaxcoskxcoswt satisfy the wave equation of the form ∂Ey(x,t)∂x=−∂Bz(x,t)∂t and −∂Bz(x,t)∂x=∈0μ0∂Ey(x,t)∂t respectively.

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Chapter 32 Solutions