GR8677 #29



Alternate Solutions 
mahdisadjadi 20120927 10:06:49  The answer is definitely B. As you can see, test charge is negative and the official solution points it out. But in the answer this is not considered.
Assume that:
In this situation, direction of magnetic field is in the right hand side along and is along in the left hand side of wire, so we can write , by Loentz force law(we take q to be positive and enter a minus to indicate negativity of charge):
Force should be parallel to the current, so we take and , where should be positive.
So, is negative and charge is moving away from the wire.
 

Comments 
fredluis 20190809 04:35:04  They do not specify a theta dependence for the wave function so you can assume it is only a function of phi. Normalize the given function. irrigation repair   joshuaprice153 20190809 02:44:23  I can not thank you sufficiently for the articles on your website. I know you place a lot of time and energy into these and hope you know how considerably I enjoy it. I hope I\'ll do the identical thing man or woman at some time. 100% commission GainesvilleÂ   kronotsky 20181023 03:44:30  Right hand rule trick: if you put your thumb in the direction of I, and curl your fingers up into a fist, the fingers point along B. We want . Cyclic permutations and setting gives .   QuantumCat 20140902 14:01:17  Consider = so that = . Because q goes to q, consider that = so leading to choice A   mahdisadjadi 20120927 10:06:49  The answer is definitely B. As you can see, test charge is negative and the official solution points it out. But in the answer this is not considered.
Assume that:
In this situation, direction of magnetic field is in the right hand side along and is along in the left hand side of wire, so we can write , by Loentz force law(we take q to be positive and enter a minus to indicate negativity of charge):
Force should be parallel to the current, so we take and , where should be positive.
So, is negative and charge is moving away from the wire.
walczyk 20121013 13:06:27 
Uh if Vy is negative then it is moving TOWARD the wire, not away from it. Also the answer is A, if ETS gave the wrong answer you wouldn't be the only one discovering this. This test is very very old.

eris1 20151008 14:48:11 
Define the cable as laying on the axis at the origin of the and axis. Imagine the particle is moving strictly along the y axis, starting at a point >0. With a negative velocity (in the negative direction), the particle is moving towards the wire and the field it encounters is in the positive direction. If the particle starts at <0 then the direction of the field it encounters is in the negative direction (canceling the \"\" from the charge), thus following that the velocity of the particle must be positive (for a positive force), moving again towards the wire.

camarasi 20171025 14:05:56 
The xcomponent of the Bfield as you\'ve taken it is negative, so you\'re off by a sign.

  Fily 20110407 04:12:37  This is more simple just z=?*Phi(The angle).So its ultimately give ?=r   shafatmubin 20091031 18:12:46  Fleming's lefthand rule (thuMb for motion, First for field, seCond for current) is used to find direction of motion (i.e. force applied) when current and field directions are known.
So the LHR will work here, if one takes into account of the direction of the CURRENT produced by negative charges (i.e. opposite to velocity direction).   dean 20081009 21:45:23  I may be mistaken, but it seems to me the LHR yields the wrong answer here if used consistently (i.e. twice). Better to stick with the right hand (sorry southpaws) and remember sign.
neon37 20081102 15:41:09 
not really you are probably trying to figure out the direction of the magnetic field also with LHR. The direction of the field is always with the RHR. You could find the direction the test charge should go given the direction of the field and current, with LHR. I would also suggest sticking to RHR on the real exam. Might be confusing.

  darox 20061129 06:59:15  actually, it cannot be B. the direction of the particle would be not parallel, but antiparallel.
zaharakis 20070105 09:31:42 
Anti Parallel is still parallel

madfish 20071102 12:11:27 
not when you're talking about relative to a current

FortranMan 20081019 13:14:30 
I thought antiparallel is still parallel too, until I looked at options (A) and (B).
This problem is deceptively simple, people. Remember that if the charge is moving towards the wire its velocity vector would be negative, but this negative can be canceled out if you are using a negative test charge, resulting in the positive force direction parallel to the positive current direction. In short, the sign of the charge can affect the vector.

  zaharakis 20061102 14:25:53  The answer could also be B. The question states parallel to the direction of the current. B would produce a force in the opposite direction to the current but this is still parallel.
zaharakis 20070105 09:31:14 
Anti parallel is still parallel.

tau1777 20081031 19:30:03 
yeah, i did not realize this the first time i took the test. and as i was redoing it today it hit me, this confusing thing about parallel. i feel that they should be more direct but i guess that's just the ETS. i'll have to keep an eye on my common sense of things and try to see it their way, least until test day. bottom line: to the ETS antiparallel and parallel are different.

gt2009 20090622 06:04:21 
Antiparallel and parallel are different.

 

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