Two short bar magnets have magnetic moments 120 a m2 and 100...

Two short bar magnets have magnetic moments 1.20 A m^2 and 1.00 Am^2 respectively. They are placed on horizontal table parallel to each other with their north poles pointing towards the south. They have a common magnetic equator and are separated by a distance 20.0 cm. The value of the resultant horizontal magnetic induction at the mid - point O of the line joining their centers is ;(horizontal component of the Earth's magnetic induction is 3.6 × 10^-5Wb/m^2).

Transcript

0:00 Hi there.

00:01 So for this problem we have two short bar magnets that have a magnetic moments that are given.

00:07 The magnetic moments are m1 that is equal to 1 .20 amperes times meters square and the moment 2 is equal to 1 ampers times meters square.

00:25 Respectively.

00:27 They are placed on an horizontal table parallel to each other with their north poles pointing towards the south.

00:37 They have a common magnetic equator and are separated by a distance that is given and that distance is equal to 20 centimeters.

00:54 Now the value of the resultant, we are asked about the value of the resultant horizontal magnetic induction at the mean point, of the line joining their centers.

01:15 So the situation is as is shown in this figure right here.

01:21 So we know that the net magnetic field is going to be the magnetic field produced by 1 plus the magnetic field produced by 2 plus the magnetic field produced by age, which is the value that we are given for the...

01:48 Horizontal component of the earth magnetic induction.

01:53 So with that said, we just need to simply substitute the expressions for the magnetic field.

01:57 So we will have that.

01:59 The magnetic field 1 is mu -sup 0 times the moment 1, and this divided by 4 times pi times the separation to the 3.

02:11 Now remember that the separation at this point, because they are separated by a distance of 20 centimeters, then the distance from 1...

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