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a long wire (conducting) and an long silk thread are || ly present on a plane. the wire carries a current i and the thread has a charge density ' L '. the wire is now moved with a velocity v1 in the direction of current and the thread with a velocity v2 in the same direction. compute the elctromagnetic force per unit length between them as seen from ground frame of referance rates assured for explaining this correctly.


 a long wire (conducting) and an long silk thread are || ly present on a plane. the wire carries a current i and the thread has a charge density ' L '. the wire is now moved with a velocity v1 in the direction of current and the thread with a velocity v2 in the same direction.

compute the elctromagnetic force per unit length between them as seen from ground frame of referance

rates assured for explaining this correctly.


Grade:11

1 Answers

ROSHAN MUJEEB
askIITians Faculty 829 Points
one year ago

The wires repel each other with some force.
The magnitude of this force can be given by
F=
Il
×
B
where l is length of wire
B=
2πr
μ


I


where r is distance between two wires
r=2Lsinθ
F=
2π2Lsinθ
μ


I
2
l

...(i)
Now the tension in the thread is keeping both wire from moving to sideways
From FBD of the wire
Tsinθ=F...(ii)
Tcosθ=mg...(iii)
dividing equation (ii) by (iii)
tanθ=
mg
F


m=λL
I=2sinθ
μ


cosθ
πλgL


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