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Grade 11Magnetism

3 very long conductors are in x,y plane ¶llel to each other.Centres of this conductor are lie on same x-axis 1st conductor is along y-axis &other are at (1m,2m) coordinate from 1st conductor .1st two conductor are carring current towards positive y direction &3rd conductor is carring current in negative y direction all conductor are carring equal current of 2Ampere.Find magnitude &direction & force acting on 3rd conductor per unit length is in vector form.

Profile image of Aditya Mukund Shirsale
8 Years agoGrade 11
Answers icon

1 Answer

Profile image of ROSHAN MUJEEB
6 Years ago

Force on C
2
​
due to C
1
​

F
21
​
=
2πr
μ
0
​
i
1
​
⋅i
2
​

​
dl
=
2πx
μ
0
​
2×1×dl
​

Force on C
2
​
due to C
3
​

F
23
​
=
2πy
μ
0
​
×2×3
​
dl
C
2
​
is in equilibrium
So, =F
21
​
=F
23
​

2πx
μ
0
​
×2×1×dl
​
=
2πy
μ
0
​
×2×3×dl
​

x:y=1:3

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