Unit Test 3 (Ch 21, 22 & 23) Begin Date: 8/3/2017 12:05:00 AM -Due Date: 8/3/201

Question

Unit Test 3 (Ch 21, 22 & 23) Begin Date: 8/3/2017 12:05:00 AM -Due Date: 8/3/2017 11:59:00 PM End Date: 8/4/2017 1:00:00 AM (5 %) Problem 12: 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= 6.5 × 10-8 s Randomized Variables T-6.5 x 108s Otheexpertta.com 14% Part (a) Express the wavelength of the wave, , in terms of T and the speed of light, c 14% Part (b) Solve for the numerical value of in m. 14% Part (c) Write the equation of the frequency,f, in terms of T. 14% Part (d) Solve for the numerical value off in Hz. 14% Part (e) The magnetic field reaches its maximum value, B x 7.7 x 106 T in the z direction at some point and at some instant. Express the magnitude of the electric field at this position and time, Emax, in terms of Bmr 14% Part (f) Solve for the numerical value of Emaar in V/m. 14% Part (g) what is the direction of the electric field at this position and time? Grade Summary Z direction,Y direction,X direction. Potential 100% Hint I give up! Feedback: Hints: (50% per attempt) view

Explanation / Answer

Given,

T = 6.5 x 10^-8 s

a)We know that,

c = f lambda

but, f = 1/T

c = 1/T lambda

lambda = c T

b)lambda = c T = 3 x 10^8 x 6.5 x 10^-8 = 19.5 m

Hence, lambda = 19.5 m

c)f = 1/T

d)f = 1/6.5 x 10^-8 = 1.54 x 10^7 Hz

Hence, f = 1.54 x 10^7 Hz

e)B(max) = 7.7 x 10^-6 T

we know that,

c = E(max)/B(max)

E(max) = c B(max)

f)E(max) = 3 x 10^8 x 7.7 x 10^-6 = 2.31 x 10^3 V/m

Hence, E(max) = 2.31 x 10^3 V/m

g)Since its propagating in X direction with, magnetic field in z direction so the electric field will be along y direction. As in the EM wave both B and E fields are perpendicular to each other and direction of propagation.

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