We have two waves -2.79 sin(k x - v t) and 1.5 cos(k x - v t) which add together to make a new combined wave A sin(k x - v t+θ). What is the value of θ in radians?

What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (6л m¯¹)x + (4л rad/s)t - n/8) 3. Amplitude 4. Angular wave number

Using The following equation for a transverse wave, what is the frequency, period and wave number?

uniform TEM plane wave propagating in a medium has H = -6 e- cos(2n x 10't - Bz) âg + 2e"sin (2m x 10't – Bz)â, A/m. If the medium is characterized by 4=20, e=1, o=3 S/m. a. Is the medium a good or a poor conductor? Determine a and B. b. What is the characteristic impedance, n? c. Determine the E field.

Using The following equation for a transverse wave, what is the wavelength & angular frequency?

Two identical traveling waves, moving in the same direction, are out of phase by π/5.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves? (Give the answer as the ratio of the total amplitude to the common amplitude.) Number i Units

Consider two sinusoidal waves: fi = A1 cos (kz – wt + ø1) and f2 = A2 cos (kz – wt + 02). We can write their complex forms as fi =Aje(kz-wt+61) = áeï(kz-wt) f2 =Aze(kz-wt+62) = Ãze³(kz-wt) where the complex amplitudes Ã1 = Ajeø1 and Ã, = Azeió2 Now suppose we want to combine the two: fs = fi + f2 = Ãze(k3:-w3t) = Azeiøs ei(kzz=wzt) Find expressions for A3, $3, k3, and w3.

Two waves on one string are described by the wave functions y​1​​= 3.33 cos(2.34x − 1.21t) y​2​​= 3.33 sin(4.37x − 2.57t) where x and y are in centimeters and t is in seconds. (Remember that the arguments of the trigonometric functions are in radians.) (a) Find the superposition of the waves y​1​​+y​2​​ at x = 1.0, t = 0.0 s.

a° y(z,t) 1 d*y(x,t) Which of the following wave functions satisfies the wave equation? A.) y(x, t) = A cos(kæ + wt) B.) y(x, t) = A sin(kx +wt) C.) y(x, t) = A[cos(kæ) + cos(wt)] For any of the equations above that satisfy the wave equation what are the transverse velocity and acceleration of a particle at point x?

What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (6ñ m¯¹)x + (4ñ rad/s)t - n/8) 1. Is this wave transverse or longitudinal? 2. Which direction is the wave moving?