Question

Two conductors are at right angle in
form of a plane carry equal currents.
At what point in the plane that their
magnetic field is zero?​

Answer 1

Answer:

In first quadrant magnetic field due to I  

1

​  

 is outwards and due to I  

2

​  

 is inwards.So net magnetic field may be zero.

Similarly in third quadrant magnetic field due to I  

1

​  

 is inwards and due to I  

2

​  

 magnetic field is outwards.Hence only in first and third quadrants magnetic field may be zero.

Let magnetic field is zero at point P(xy) then :

       B  

I  

1

​  

 

​  

=B  

I  

2

​  

 

​  

 

∴  

2π

μo

​  

 

y

I  

1

​  

 

​  

=  

2π

μo

​  

 

x

I  

2

​  

 

​  

 

∴y=(  

I  

2

​  

 

I  

1

​  

 

​  

)x

Explanation:

Answer 2

Answer:

Answer

In first quadrant magnetic field due to I  

1

​  

 is outwards and due to I  

2

​  

 is inwards.So net magnetic field may be zero.

Similarly in third quadrant magnetic field due to I  

1

​  

 is inwards and due to I  

2

​  

 magnetic field is outwards.Hence only in first and third quadrants magnetic field may be zero.

Let magnetic field is zero at point P(xy) then :

       B  

I  

1

​  

 

​  

=B  

I  

2

​  

 

​  

 

∴  

2π

μo

​  

 

y

I  

1

​  

 

​  

=  

2π

μo

​  

 

x

I  

2

​  

 

​  

 

∴y=(  

I  

2

​  

 

I  

1

​  

 

​  

)x

Answer verified by Toppr

Explanation: