A wave solution to Maxwell's Equations is given by E⃗ =E0xˆcos(5.0 z)cos( 1.03e11 t) where z is measured in centimeters and t in seconds.
(a) What is the wavelength (in rad/meter) of the wave?
(b) What is the index of refraction, n, of the medium?
(c) The associated magnetic field can be written as
B =B0f1(kz)f2(ωt)dˆ.
Give the expression for B0 in terms of E0,n, the speed of light in the vacuum c and natural constants.
What is the value of k in radians per meter?
What is the value of ω in radians per seconds?
plz help....!
a)0.0126
b)1.63e10
c)1.46 , (E_0*n)/c
d)... help
DOnny, could you give us the formula for c) first part? 1.46 did not work for me.
thanks
By the way, d) all of them 0
i think you meant b...
did the rest of the answers work? the formula is c/v ; c=speed of light, v= speed of what you calculated in which it would be (1.03e11)/(5*100)
Thanks DOnny. I mean the question for
What is the value of k in radians per meter?
5.5z
I tried your formula
(1.03e11)/(5.5*100)
=187272727
This does not work for c) first part, can you help please?
The rest I had already DOnny and the values are not very far apart, strangely enough, 1.46 for first part c) is not right in my case even experimenting with lower-higher values.
Thanks for your help.
Pls. tell K and w values and ans of Q1 all parts.
Have problem with part c) too, please help?
you're welcome. i need help with the remaining questions if you don't mind
oh btw k is 501.27
and omega is 1.03e11
THanks DOnny, yes me too.
Anyone for Problem 3)b)?
and Problem 1)f) B_0 for both cases.
Formula or values would helpful, thanks.
Thanks, now figured out DOnny!
values are not far off. Anyone for B_0 Problem 3)b?
flu i am stuck on the rest of them :/ you have some answers?
Which one DOnny?
I might able to help
Did anyone got B_0 correct for Problem 1) f)?
Please B_0!
For B_0 the formula seems to be :
E_0/c
However, I cannot get the result. can anybody work with this or help?
FLu, these are the following:
Q3 (all)
Q5 b)
Q6
Q7
Q8
i know its a lot :S
DOnny, values might vary you need to make some tries but they are usually around that value.
Q3:
a)0.197142857148
c)0.197142857148
b)?
Q5 b)
0
(-4*E_0)/c
E_0/c
Q 6:
a)0
0
(E_0/c)*cos(pi/1)
b)0.0269
c)((2*pi)/8)*10^-10
I think the 8*10^10 is omega value for you but in my case it was ^-10
just plug in your omega value in it should work.
Q7)a and b was in my case the exact value from the textbook, have a look with formula.
a)1.01*10^3
0.00000325
b)3.8*10^26
Q8:
Anonymous asked me that already, the values cannot be far off and in my case the n value was the answer for b) 1.5 and a) was 0.70, which was not far from alpha value 75.
Can you help me with Problem 1 f) DOnny? I still have issues with B_0.
Thanks
Thanks Flu!
Anybody for Question 1)f) B_0?
Anyone for B_0 for both cases?
Problem 3) b)?
my 1 f) are as follows:
-1.17e-7
4.72
-1.01e9
2.81e-7
1.567
-3.62e8
the answers you provided for Q6 a regarding wavelength are wrong in my case though. i have a value of k=1e2 and omega= 3e10
also Q3 completely wrong (formulas provided will be appreciated)
and lastly Q8 a) , with a value of n=1.55 and alpha= 84 degrees , i really dunnno where to start
Donny can you tell us the formula for 1)f) B_0 please?
How to solve B_0 please? Any formula please?
B_0!?
B_0 for Problem 3 please?
Pl tell formula for Q6 part b,c and Q8 n=1.45 and alpha=66
P,
λ = 2*pi/k
T = 2*pi/w
K and W at you are given
leGum is this formula for Problem 3 B_0?
Please Problem 3 B_0?!
Sorry DOnny, I did not have the formula until now X10 provided below for Problem 3, maybe enoiugh time:
Part a and Part c:
d/dt (l (sin((k lambda)/4-t omega)+sin(t omega)))/k where t=2.4*10^-16; omega=3.83*10^15; k=12775810.12; lambda=4.91*10^-7;l=1
Put this value in wolframalpha and divide the result by speed of light
and for Part b: Integrate[Cos[k z - omega t], {z, 0, lambda/4}, {x, 0, l}] where t=2.2*10^-16; omega=3.83*10^15; k=12775810.12; lambda=4.91*10^-7;l=1
Do you have by any chance the formula for Problem 1 f) B_0?