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Magnetism

Karthik M's Avatar
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16 Jan 2008 20:24:11 IST
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Magnetic field
None

A long wire is bent to form a plane angle @... find the magnetic field at a point on the perpendicular bisector at a distance x from the vertex. I am not getting the HCV book answer.
 
 
Moreover, why is the magnetic field inside a hollow tube zero? Any concrete logical explanation?


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Sairam's Avatar

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16 Jan 2008 20:39:49 IST
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is da ans (1+sin/2)I/2pi
Sairam's Avatar

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16 Jan 2008 20:42:19 IST
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well as for ur second question i'd say its a consequence of ampere's circuital law
consider a circular loop wthin the tube passin thru the point were field is reqd.
 
[ ][ ] B.dl= mu *i enclosd  which is zero as no i is enclosd
Karthik M's Avatar

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16 Jan 2008 21:28:47 IST
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Yeah got it... thanks elasu
Sairam's Avatar

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16 Jan 2008 21:31:24 IST
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is da ans 4 magn field correct.
i feel i made a small mistake
Karthik M's Avatar

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16 Jan 2008 21:38:13 IST
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no.. thats wrong
Sairam's Avatar

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16 Jan 2008 22:01:36 IST
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well dude i got ma mistake
heres da right soln
let dist of the pt be d from both da lines
B at the reqd pt say O ,
i hav written down B due 2 1 wire (its not clear in ma pic)
Karthik M's Avatar

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16 Jan 2008 23:27:17 IST
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you have considered it to be a finite wire... hmm... I took the qn as to find the magnetic field due to the long wire at the required point... as it;'ll remain long even after bending
Sairam's Avatar

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16 Jan 2008 23:37:40 IST
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no dude its like u r bendin a single infinitely long wire at a point
itll give 2 divergent wires starting frm a point
Karthik M's Avatar

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16 Jan 2008 23:58:46 IST
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yea... i get that but how have u considered the wire to be finite here/
Sairam's Avatar

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17 Jan 2008 00:09:29 IST
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wat do u mean i have considered the wire to be finite?
in the formula basically the angles
1 and
2are the angles subtended by the endpts of the wire on the pt where field is reqd. here as one end is infin. and another finite. theta 1 is 90 and the other angles  is 90- theta /.
if u still think ma soln is wrong nudge me
 
Karthik M's Avatar

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17 Jan 2008 16:19:10 IST
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nono sorry... I made a mistake... I got the answer :)
Tarin Bansal's Avatar

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17 Jan 2008 19:29:23 IST
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I am answering ur second doubt.
In the figure, I hav shown crosssection of a hollow wire carrying current outside the plane of screen(towards U). Consider the current as infinite no of very long current carrying wires. Hence each wire will hav its own mag field which I hav shown for 3 such wires in my firgure. U can see that none of them enters the hollow wire and hene field inside a hollow wire is zero.
 
Hope U got it.
 



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