5

(Multi-Part Problem) At a lab in Boulder, a plane electromagnetic wave travels eastward_ At one instant _ its electric field has magnitude of 6.0 V/m (which is the ...

Question

(Multi-Part Problem) At a lab in Boulder, a plane electromagnetic wave travels eastward_ At one instant _ its electric field has magnitude of 6.0 V/m (which is the standard SL/mks unit) and it points downward to the floor:(a) At this instant. what is the direction of the magnetic field associated with the wave? At this instant, what is the magnitude of the magnetic field associated with the wave? In Boulder; the Earth's magnetic field points mostly northward, with a magnitude of about 50 /T

(Multi-Part Problem) At a lab in Boulder, a plane electromagnetic wave travels eastward_ At one instant _ its electric field has magnitude of 6.0 V/m (which is the standard SL/mks unit) and it points downward to the floor: (a) At this instant. what is the direction of the magnetic field associated with the wave? At this instant, what is the magnitude of the magnetic field associated with the wave? In Boulder; the Earth's magnetic field points mostly northward, with a magnitude of about 50 /T: Would the electromagnetic wave disturb compass?



Answers

A plane electromagnetic wave travels northward. At one instant, its electric field has a magnitude of $6.0 \mathrm{V} / \mathrm{m}$ and points eastward. What are the magnitude and direction of the magnetic field at this instant?

So here for part A. We know that's here. The magnitude of the magnetic field would simply be equal to the magnitude of the electric field divided about See the speed of light. So this would be 100 volts per meter divided by 3.0 times. Tend to the eight meters per second. And this is equaling 3.33 times 10 to the negative seventh test list. This would be our magnitude of the magnetic field. Now, for part B, we know that the, uh, the unit vector the wave is propagating along the negative y direction. Therefore, the unit vector along the wave propagation is negative. J So we can say that if we know the ah unit vector for the electric field, the cross product between the unit vector for the electric field on the unit vector for the magnetic field equals the essentially the unit vector for the direction the prop the wave propagation. We can say that negative J hat will be equal to K hat, knowing that the electric field is along the positive zy direction and this would be, uh, K hat Ah, across product with the unit vector. Uh, unit vector in the direction of the magnetic field so we can just use right hand rule. And we find that the magnetic field, the vector for the magnetic field, must be in the negative I hat direction. Or we can say the negative X direction for the negative X direction would be the direction of the vector for the magnetic field. That would be your answer for part B. That is the end of the solution. Thank you.

Hi in the given problem there is a power line which is carrying a direct current. The magnitude of this current is given us 100 mps. Then below this power line there is a campus whose distance from the wire he's given us R. Is equal to 61 need to. So in the first part of the problem we have to find magnetic will at this point at this observation point below this power line due to the current carried by this conductor. So using but and several slopes expression for the magnetic field due to a street current carrying conductor of in finite land is given as mute upon 4.2 I by our so plugging in all known values here, this is tending bar minus seven Tesla meter perimeter here, multiplied by two times of current passing through this wire which is 100 ampere divided by 6.1 m distance of observation point from the wire. Now canceling this meter with the meter and M. Pierre with the ampere we get the magnitude of this magnetic field to be equal to or the first part of this problem. Now in the second part of the problem, we have to discuss whether this magnetic field will influence the reading of the compassion. It'll here at this point. So our answer is yes because there's 3.3 micro tesla. Mhm correct. As compared with horizontal component of earth's magnetic field which has been given us 20 micro tesla. So the comparison really is actually used to measure this component to find the direction of this component and the magnetic will do to this current carrying conductor that is 3.3 micro tesla. So of course this magnetic field due to the power line will interfere. This will interfere seriously with the campus reading. Which is the answer for the second part of the problem. Thank you.

For this question. We're told we have a magnetic field. Um, be of 0.6 temped in the minus for Tesla, pointing at an angle phi 75 degrees below the horizontal, uh, in a North Slough north south plane. Okay, so it's 75 degrees below the horizontal in the north, south plain and a wire. I, uh, here has a current of I 15 amperes in a length l of 10 meters. So if the current is directed horizontally towards the east, what is the magnitude and direction of the magnetic force on the wire? Okay, so first the current is directed her is only eastward. Then the angle will call this angle. Since this is part, eh, we'll call this angle fate, eh? It's going to be equal to 90 degrees state of a 90 degrees plus five. So this comes out equal 165 degrees, okay, relative to the eastward direction, which I have drawn, drawn out over there to the right and read. So then the force that is acting is going to be equal to the magnetic field strength. Be times the current strength I times the length of the wire l A times the sine of the angle between B and I, which would be played a plugging those values. And we find that the force is equal to 2.3 times 10 to the minus three news. Okay. And we're also asked the directionality here, um, so the directionality is pretty simple. Uh, it's simply equal to 15 degrees. This is because 15 degrees above west, right? Because 165 degrees starts over here and goes all the way over here, right? That's 165 degrees. But it's also 15 degrees. What's, uh, me indicated it was a little bit shorter than that, right? It goes to bear, but it's also 15 degrees above the horizontal westward, so you could start at 180 degrees and go 180 minus 1 65 which is 15 degrees, so we can say 15 degrees, uh, above horizontal west. Look, a little box. All of that in as their solution for part a. Okay, we're gonna do the same thing. We're gonna calculate force in part B, But this time it says, what is the magnitude and direction of the force of the current is directed vertically upward. Okay, so now if the current is directed vertically upward in the angle between the current and the magnetic field will call this angle, they'd be. Since it's part B is gonna be equal to 90 degrees minus five, so this comes out equal 15 degrees. Now we have the exact same equation to calculate force, but we have a new angle value. So it's be times I times L a times the sine of the angle, which in this case, is to be, whereas previously it was a day. So playing this value in, we find that this course is also equal to 2.3 times 10 to the minus three news. That's because the sign of 15 degrees is the same as the sign of 100 and 65 degrees. But this time the angle is 15 degrees above horizontally east, because 90 minus five or 90 degrees is north. To go back here to our little of northeast southwest, if 90 degrees is north than 90 degrees minus, phi is towards the east, and that would be 15 degrees above horizontally east, so we can say 15 degrees animal type above horizontal east weaken box. All that in as our solution to part B

Why the given problem, steady current passing through power line is you didn't ask. I is equal to 100. I'm here. The distance of magnetic compass at which it is kept below the power line that is given us R. Is equal to 6.1 meter. So using bio and several slaw magnetic field created by current passing through the power line is. And that magnetic field created at the location of magnetic compass. And this. We are doing the first part of the problem. Oh a magnetic field created at the location of magnetic compass will be given by the expression mu not by four by into two. I buy art plugging in all known values. Their form you Not upon four by this is and it's four minus seven Tesla meter or am pure multiplied by two times of current which is 100 MPR divided by the defense of magnetic compass which is 6.1 meters, canceling ampere with ampere meter with the meter. Finally we get, I really feel at the location of magnetic compass equal to 3.3 into attended the power minus six S. La. Or we can say this is 3.3 micro Tesla. First answer for this given problem. No. In the second part of the problem where we have to discuss whether this magnetic field created by the our night will create a hindrance with the Earth's magnetic field or not. So as our magnetic field, horizontal component of earth's magnetic field here is the H. Is equal to 20 micro Tesla. So clearly this much magnetic field created by the our line is not negligible. Mhm. 3.3 micro Tesla is not negligee evil as compared with 20 my protest Lear's so yes it will create a hindu with the measure. Marriage being done by that ingenious thank you.


Similar Solved Questions

5 answers
A normal line is a line perpendicular to tangent line on curve at point: Write the equation of a normal line to 2x'+2y at (-2,2)
A normal line is a line perpendicular to tangent line on curve at point: Write the equation of a normal line to 2x'+2y at (-2,2)...
5 answers
Question 7A binomial experiment has 25 trials, with probability of success in each trial 0.12.What is the expected number of successes?Select ]What is P(X 212 [Select ]P(X < 2)? [Sclect ]P(X 2 31? [Select ]
Question 7 A binomial experiment has 25 trials, with probability of success in each trial 0.12. What is the expected number of successes? Select ] What is P(X 212 [Select ] P(X < 2)? [Sclect ] P(X 2 31? [Select ]...
4 answers
6.:50BackMid TermNol ye arswered Marked out 0f 150Question 4If the correlation coefficient between tWO variables andy is -0.92, Then: Select one:There Is strong negative linear relationship betvieen and %b. There is maderate positive relationship betvieen andyThere is on Iinear relationship between and y;d. There is weak indirect Iinear relationship betvieen andyClearCno CePreviousNert
6.:50 Back Mid Term Nol ye arswered Marked out 0f 150 Question 4 If the correlation coefficient between tWO variables andy is -0.92, Then: Select one: There Is strong negative linear relationship betvieen and % b. There is maderate positive relationship betvieen andy There is on Iinear relationship ...
5 answers
(1 pt)12 IS a linear combination of the vectors W110To see if band a2one can solve lhe matrix equation Arwhere the columns of Alareand Veand
(1 pt) 12 IS a linear combination of the vectors W1 10 To see if b and a2 one can solve lhe matrix equation Ar where the columns of Alare and Ve and...
5 answers
Suppose there arc ten cundidatcs for & five-person mntlmnance four of thc candidatcs are men JN six of the cudidales are women Cen 6xomenWlut the probability of sclecting = Mive ~person committee made up of [WO men and thnr women?[n (uorun2G: ICz - 6 bC2Z6What probability of sclecting live-person committer made up of at most onc MenYI6Cs
Suppose there arc ten cundidatcs for & five-person mntlmnance four of thc candidatcs are men JN six of the cudidales are women Cen 6xomen Wlut the probability of sclecting = Mive ~person committee made up of [WO men and thnr women? [n (uorun 2G: ICz - 6 bC2 Z6 What probability of sclecting live-...
5 answers
S RevenueThe Rate of Change inDemand for a smartphone follows the model D(p)=12-P-p thousand phones sold at a unit price of p hundred dollars.At what rate is revenue changing with respect to price when charging S200 per phone?
s Revenue The Rate of Change in Demand for a smartphone follows the model D(p)=12-P-p thousand phones sold at a unit price of p hundred dollars. At what rate is revenue changing with respect to price when charging S200 per phone?...
5 answers
Values of f and g 3re given in the tablebelow: 53 f () g6)2 4519(a) One off () or g(4) is invertible Which one?2 (+)0 [ (x)eTextbook and Media(b) For the function which is invertible; construct table of values for its inverse function h (4 ) for all values oft for which it is definedEnter your answers in increasing order Of _.hk)
Values of f and g 3re given in the tablebelow: 53 f () g6) 2 45 19 (a) One off () or g(4) is invertible Which one? 2 (+) 0 [ (x) eTextbook and Media (b) For the function which is invertible; construct table of values for its inverse function h (4 ) for all values oft for which it is defined Enter yo...
5 answers
A crate with a mass of 157.5 kg is suspended from the end of a uniform boom with a mass of 91.7 kg_ The end of the boom is ported by a cable attached to the wall and the lower end by a pivot (marked X) on the same healppei isupec Calculate the tension in cable2L 1 2 6 7 10 11 12 13 14 15 16 Horizontal position, (m)You'Il need to get the various positions from the graph: Many are exactly on one of the tic marks_
A crate with a mass of 157.5 kg is suspended from the end of a uniform boom with a mass of 91.7 kg_ The end of the boom is ported by a cable attached to the wall and the lower end by a pivot (marked X) on the same healppei isupec Calculate the tension in cable 2 L 1 2 6 7 10 11 12 13 14 15 16 Hor...
5 answers
2. Approximate 63 .? x dx using n = 4 subdivisions and both the left and right Riemann sums_ 1. How do these two numbers relate to the exact value of the integral above?
2. Approximate 63 .? x dx using n = 4 subdivisions and both the left and right Riemann sums_ 1. How do these two numbers relate to the exact value of the integral above?...
5 answers
By what factor does the de Broglie wavelength of a particle change if $(a)$ its momentum is doubled or $(b)$ its kinetic energy is doubled? Assume the particle is nonrelativistic.
By what factor does the de Broglie wavelength of a particle change if $(a)$ its momentum is doubled or $(b)$ its kinetic energy is doubled? Assume the particle is nonrelativistic....
5 answers
Find the limil of the sequence if it converges; olherwise indicate divergence:4nDiverges
Find the limil of the sequence if it converges; olherwise indicate divergence: 4n Diverges...
1 answers
Solve the given trigonometric equation on $0^{\circ} \leq \theta<360^{\circ}$ and express the answer in degrees rounded to two decimal places. $$\csc ^{2}(3 \theta)-2=0$$
Solve the given trigonometric equation on $0^{\circ} \leq \theta<360^{\circ}$ and express the answer in degrees rounded to two decimal places. $$\csc ^{2}(3 \theta)-2=0$$...
5 answers
Q-1) Find all solutions of the following system 2w 2y 3 W 9 + 22 3 3w Ly + 12 6 3u 31 5y 42 3
Q-1) Find all solutions of the following system 2w 2y 3 W 9 + 22 3 3w Ly + 12 6 3u 31 5y 42 3...
5 answers
JXUse the Principle of Mathematical Induction to verify that, for n any positive integer; 6 n _ is divisible by 5. Knt 347 57 40
JX Use the Principle of Mathematical Induction to verify that, for n any positive integer; 6 n _ is divisible by 5. Knt 347 57 40...
5 answers
Question (1point) {sealed reaction vessel initially contains 1113*10 ? moles of water vapor and 1.490*10 ? moles of COlgk#,olg) +co(g) H,(g)+Co,(g)After the above reaction has come to equilibrium the vessel contains = 8.530*10 * moles of COzlgl:Ath attempt Sce PerlodlaFeedbackof the equllibrium canstant K of the reaction at the temperature of the veusel? What Isthe value 0 *
Question (1point) {sealed reaction vessel initially contains 1113*10 ? moles of water vapor and 1.490*10 ? moles of COlgk #,olg) +co(g) H,(g)+Co,(g) After the above reaction has come to equilibrium the vessel contains = 8.530*10 * moles of COzlgl: Ath attempt Sce Perlodla Feedback of the equllibriu...
5 answers
Evaluate the integral using integration by parts_64xcs5 4x dx64xcs5 4x dx=(Type an exact answer: )
Evaluate the integral using integration by parts_ 64xcs5 4x dx 64xcs5 4x dx= (Type an exact answer: )...
5 answers
Diffusion is a(n)process.ActivePassiveProactiveDynamic
Diffusion is a(n) process. Active Passive Proactive Dynamic...
5 answers
Find all values for k: such that the following vectors form linearly dependent set_k-0k=1k-2k-0,1k70,2k71,2
Find all values for k: such that the following vectors form linearly dependent set_ k-0 k=1 k-2 k-0,1 k70,2 k71,2...

-- 0.027805--