Homework Answers
A harmonic equation of the form (kx + wt) represents travelling wave moving in the -x direction. the equation which has this form is option (iii)
Therefore,option (iii) represents equation of wave travelling in -x direction
Answer (iii)
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Problem 2: Wave function Which of these functions describes a wave moving in -x direction? (i)...
Problem 2: Wave function Which of these functions describes a wave moving in -r direction'? (i)...
Problem 2: Wave function Which of these functions describes a wave moving in -r direction'? (i) y= Acos(kx-wt)+ Bsin(kx-wt) (v) y= Asin(kx-wt) + B sin(kx+wt).
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions...
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) - f(kx -wt) where k and w are positive constants....
2. The electric field in a plane wave is described by the equation (k > 0):...
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-...
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
Standing wave can be represented as a product of two periodic functions (spatial and tem- poral)....
Standing wave can be represented as a product of two periodic functions (spatial and tem- poral). Consider the following superpositions of waves: VA(2, t) = A sin(kx – wt) + 2A sin(kx + wt) VB(x, t) = A sin(kx – wt) + A cos(kx + wt) wc(,t) = A sin(kx - wt) + A sin(kx + 2wt) Does either of them (WA, VB and/or vc) correspond to a standing wave? Use trigonometric identities to combine the terms and evaluate the...
The following equation describes a wave due to the interference of two waves with the same...
The following equation describes a wave due to the interference of two waves with the same amplitude and wave number, but offset by a phase difference ϕ. D(x,t)=2A cos(ϕ/2)sin(kx−ωt+ϕ/2) What is the phase difference if the amplitude of the resultant wave is A? A. π/6 B. π/4 C. π/3 D. π/2 E. 2π/3 F. π G. 2π
Can you do (b) and (c) only thank you PrOBleM: SoLuTiONS To THE WAvE EQuATION a)...
Can you do (b) and (c) only thank you
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) -...
From the mathematical functions (with x is in metres, t in seconds), select those which correspond...
From the mathematical functions (with x is in metres, t in seconds), select those which correspond to each of the five motions below . For example, if functions A and G satisfy motion 1, function C satisfies motion 2 and none of the functions satisfies motions 3, 4 and 5, enter AGCNNN. (Note that the answers for each motion must be in alphabetical order.) A) y(x,t) = 0.2 sin(3x−9t) B) y(x,t) = 0.8 cos(2πx−6πt+π/2) C) y(x,t) = 0.2 cos(3x)sin(2πt/3) D)...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x,...
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x, t) = Acos(kx − t) where A, k, are positive constants. 2. h(x, t) = Ae where A, k, are positive constants. 3. p(x, t) = Asinh(kx − t) where A, k, are positive constants. 4. q(x, t) = Ae where A, a, are positive constants. 5. An arbitrary function: f(x, t) = f(kx−t) where k and are positive constants. (Hint: Be careful with...
Problem 2: Wave function Which of these functions describes a wave moving in -r direction'? (i) y= Acos(kx-wt)+ Bsin(kx-wt) (v) y= Asin(kx-wt) + B sin(kx+wt).
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) - f(kx -wt) where k and w are positive constants....
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
Standing wave can be represented as a product of two periodic functions (spatial and tem- poral). Consider the following superpositions of waves: VA(2, t) = A sin(kx – wt) + 2A sin(kx + wt) VB(x, t) = A sin(kx – wt) + A cos(kx + wt) wc(,t) = A sin(kx - wt) + A sin(kx + 2wt) Does either of them (WA, VB and/or vc) correspond to a standing wave? Use trigonometric identities to combine the terms and evaluate the...
Can you do (b) and (c) only thank you
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) -...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
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