00:01
Hello student to solve the given question let us use the formula for magnetic field that is mu not i divided by 2 pi r so using this relation we can solve the question firstly for part a at y equals minus 2 .5 centimeters magnetic field b1 will be calculated as 4 pi into 10 to power minus 7 multiply by current 21 divided by 2 .5 pi into distance here will be 6 minus 2 .5 into 10 to power minus 2 in meters.
00:37
Now this will be calculated as 12 into 10 to power minus 5 tesla.
00:43
Similarly b2 will be calculated as 4 pi into 10 to power minus 7 multiply by 21 divided by 2 pi multiply by distance here will be 6 plus 2 .5 to power minus 2 this will be calculated as 4 .94 into 10 to power minus 5 tesla so from here the net magnetic field for part a will be calculated as minus 12 plus 4 .94 into 10 to power minus 5 hence the final answer for part a that is the net magnetic field equals minus 0 .71 micro tesla with k -cap direction.
01:37
Next for part b the magnetic field at y equals 0 is 0.
01:48
Similarly for part c at y equals plus 2 .5 centimeters the net magnetic field will be calculated as equals minus 4 .94 plus 12 multiply by 10 risk to power minus 5.
02:16
So the final answer for part c, that is net magnetic field, equals 0 .71 micro tesla with the direction k cap.
02:29
For the last part, that is, at distance, y equals 7 .2 centimeters, then b1 will be calculated as 4 pi into 10 .10 to power minus 7, multiply by 21 divided by 2 pi into 7 .2 plus 6, multiply by 10 plus 2 .5.
02:57
This will be calculated as minus 3 .5 .5 .2...