a long wire (conducting) and an long silk thread are || ly

Question

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 referancerates assured for explaining this correctly.

ROSHAN MUJEEB · Accepted Answer

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

Magnetism> a long wire (conducting) and an long silk...

Radhika Batra , 10 Years ago

ROSHAN MUJEEB

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Magnetism> a long wire (conducting) and an long silk...

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ROSHAN MUJEEB

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