Problem 1: Consider two current-carrying wires, separated by...

Problem 1: Consider two current-carrying wires, separated by a distance d = 6.2 cm, as shown in the figure. The left wire is directed out of the page with current I1, and the right wire is directed into the page with current I2. The point P is a distance d from both wires, so the wires and the point form an equilateral triangle. Part (a) If both wires are carrying a current of 6.5 A, what is the magnitude of the magnetic field, in tesla, at point P? B = 2.09 * 10^-5 B = 2.09E-5 Correct! Part (b) If the current from the first wire is 6.5 A and the current from the second is 14.5 A, what is the magnitude of the magnetic field, in tesla, at point P? B =

Transcript

00:01 This question, consider two current carrying wires separated by a distance of 6 .2 meters.

00:08 So this is 6 .2 meters.

00:11 As shown in the figure, over on the right, the left wire has the current directed out of the page represented by a dot and the right runs going into the page represented by a cross.

00:21 The point b is at a distance of d from both these wires.

00:26 So those are the distance of d from here so the so the wires and the point form an equal to triangle so you need to find that if the current in the first rise is 6 .5 and the current in the second wire is 14 .5 and what is the magnitude of the magnetic feed in tesla at point b so using the right hand rule first of we need to figure out the direction right so we take our right hand we take a right hand and we put our thumb towards the direction of the current we put our thumb toward the direction of the current we put our thumb direction of the foreign.

00:58 So the curly fingers will actually give the direction of the negative feet.

01:01 So in this case, the curly fingers will point exactly at 90 degrees over in this side.

01:08 So let's call it b1.

01:09 And in this case, it's going to point 90 degree exactly in this particular side.

01:14 So let's call it b2.

01:16 Right.

01:17 And they are at 90 degrees.

01:19 So our aim would be to find this angle right, because that's the angle between them.

01:24 And clearly this is 60 degree because that's an equal to triangle.

01:28 So if we try to make here the figure once again, so the angle between them is something which we have to find.

01:36 So we know that the total angle of a total, total angle or complete angle is 360, right? so which means that if this angle is alpha, so alpha plus 90 plus 90 plus 60 is going to be equal to 360, which means that alpha plus 180 plus 60 is equal to 360, which means that alpha plus 180 plus 60 is which means that the value of alpha is subtracting 60 both sides and subtracting 180 both sides is 120 degrees.

02:03 So if we try to make the components at the middle of course, that is symmetric.

02:10 So that's going to be b2.

02:13 So that's going to be b and of course that's going to be a 60 degree because that is going to be exactly half of 120.

02:19 So this will be b2 cost of 60 degree and this will be b2 sign of 60 degree and this is b1...

Question

Please give Ace some feedback