Physics Question: due tommorrow...please help, will rate lifesaver!!!

ben18

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Date Posted: 5/14/2008 2:57:18 AM Status: Live

due tommorrow...please help, will rate lifesaver!!!

Course	Textbook	Chapter	Problem
N/A	N/A	N/A	N/A

Question Details:

a)What is the propagation velocity v_vec

of the electromagnetic wave whose electric and magnetic fields are given by the expressions in the introduction?

Express $\vec v$ in terms of

and the unit vectors x_unit

, and

. The answer will not involve

; we have not yet shown that this wave travels at the speed of light.

b)Consider the loop C_1

shown in the figure. It is a square loop with sides of length

, with one corner at the origin and the opposite corner at the coordinates $x=L$ , $y=L$ . Recall that $\vec{E}(\vec{r},t) = [E_0(x-vt)/a]\hat{y}$ . What is the value of the line integral of the electric field around loop C_1

at arbitrary time

Express the line integral in terms of E_0

, and/or

c)Recall that $\vec{B}(\vec{r},t) = [B_0(x-vt)/a]\hat{z}$ . Find the value of the magnetic flux through the surface S_1

in the xy plane that is bounded by the loop C_1

, at arbitrary time

Express the magnetic flux in terms of B_0

, and/or

d)Use the Ampère-Maxwell law to find a new relationship between E_0

and

Express

in terms of B_0

, and other quantities given in the introduction.

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due tommorrow...please help, will rate lifesaver!!!

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