Two long, straight wires lie parallel to each other, as...

Two long, straight wires lie parallel to each other, as shown in the figure. They each carry a current of 5.0 A, but in opposite directions. What is the magnetic field at point P? P 8.0 cm Wire 1 I 8.0 cm Wire 2 I A. 10 ?T out of the page B. 10 ?T into the page C. 5 ?T out of the page D. 5 ?T into the page E. 15 ?T into the page

Transcript

00:01 We are given two wires.

00:02 So as you can see here, we are given two wires.

00:06 This is my wire one, this is my wire one and this is my wire two.

00:14 And it is given that there is a current which is flowing.

00:18 In wire one it is flowing in this direction and the wire two it is flowing in this direction.

00:23 The distance between the wires is given to us which is 8 cm and there is a point p which is lying above the wire 1 at a distance 8 cm.

00:32 So we have to find the magnetic field here along with direction at point b.

00:36 We are given the magnitude of current as 5 ampiers.

00:40 So let us try to see.

00:42 Now, let us see due to wire one.

00:46 So due to wire one, as we can see, if we put our thumb in direction of current and try to curl our fingers of the right hand, we will see that the direction of magnetic field will come inward due to the wire one.

01:01 And what? about due to the wire 2 now in the wire 2 here if you see put your thumb in the direction of current and then curl the fingers of right hand you will see the magnetic field is basically coming outward here so it is coming towards it is coming towards the towards me exactly means it is perpendicular to the plane of the paper coming outward so due to the wire 1 the magnetic field is entering inwards due to the wire 2 the magnet is entering inwards due to the wire 2 the magnet field is coming outward but the net magnetic field will be entering inward only because the magnetic field near to the wire has more strength as compared to the from this where you can see this magnetic field is pretty far so this would be lesser so net magnetic field will be definitely entering into the plane of paper to get the net magnetic field we need to subtract this magnetic field from this magnetic field so what is going to the net magnetic field so it would be magnetic field due to wire 1 minus magnetic field due to wire 2.

02:07 So what is the magnetic field due to wire 1? it would be equal to mu nod times of i.

02:12 So i is definitely 5 mu no times of i divided by 2 pi r, 2 pi r...

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