Share

## Consider two parallel wires where the magnitude of the left currentis 2 I0(io) and that of the right current is I0(io). Point A is midway be

Question

Consider two parallel wires where the magnitude of the left currentis 2 I0(io) and that of the right current is I0(io). Point A is midway between the wires,and B is an equal distance on the other side of the wires.

The ratio ofthe magnitude of the magnetic field at point A to that at point Bis________

in progress
0

Physics
3 years
2021-08-08T15:11:44+00:00
2021-08-08T15:11:44+00:00 1 Answers
148 views
0
## Answers ( )

Answer:Explanation:At the point midway between wires

magnetic field due to wire having current 2I₀

= 10⁻⁷ x 2 x2I₀ / r where 2r is the distance between wires .

magnetic field due to wire having current I₀

= 10⁻⁷ x 4 I₀ / r

magnetic field due to wire having current I₀

= 10⁻⁷ x 2I₀ / r

= 10⁻⁷ x 2 I₀ / r where 2r is the distance between wires .

these fields are in opposite direction as direction of current is same in both .

net magnetic field = (4 – 2 )x 10⁻⁷ x I₀ / r

= 2 x 10⁻⁷ x I₀ / r

At point A net magnetic field = 2 x 10⁻⁷ x I₀ / r

At point B , we shall calculate magnetic field

magnetic field due to nearer wire having current 2 I₀ = 10⁻⁷ x 4 I₀ / r

magnetic field due to wire far away = 10⁻⁷ x 2 I₀ / 3r

These magnetic fields act in the same direction so they will add up

net magnetic field = [ (4 I₀ / r) + (2 I₀ / 3r) ] x 10⁻⁷

= (14 I₀ / 3r ) x 10⁻⁷

Magnetic field at point B = (14 I₀ / 3r ) x 10⁻⁷

Ratio of field at A and B

= 3 / 7 . Ans