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Please answer all parts of the question and show all work. Thank you! A sinusoid

ID: 1504794 • Letter: P

Question

Please answer all parts of the question and show all work. Thank you!

A sinusoidal plane electromagnetic wave travels in a vacuum in the x direction as shown in the graph. The period of the wave is T= 9.5 times 10^-8 s. Randomized Variables T = 9.5 times 10^-8 s Express the wavelength of the wave. lambda. in terms of T and the speed of light, c. lambda =________________ Solve for the numerical value of lambda in m. Write the equation of the frequency. f in terms of T. Solve for the numerical value of f in Hz. The magnetic field reaches its maximum value. B_max = 8.3 times 10^-6 T. in the z direction at some point and at some instant. Express the magnitude of the electric field at this position and time. E_max in terms of B_max. Solve for the numerical value of E_max in V/m. What is the direction of the electric field at this position and tune?

Explanation / Answer

a)
frequanvy, f = 1/T
lambda = c/f
=c*T

Answer:
lambda =c*T

b)
lambda =c*T
= (3*10^8)*(9.5*10^-8)
= 28.5 m
Answer: 28.5 m

c)
f = 1/T

d)
f = 1/T
=1/(9.5*10^-8)
= 1.053*10^7 Hz
Answer: 1.053*10^7 Hz

I am allowed to answer only 4 parts at a time

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