Magnetic field at a point due to current carrying wires

AI Thread Summary
The discussion focuses on calculating the magnetic field at a point due to six segments of current-carrying wires. The magnetic field from segment 1 is zero, while segment 2's field is derived using the formula B = (μ * i * φ) / (2 * π * R) with φ set to π. Segment 3's magnetic field is calculated at 0.0000035969 Tesla, and segment 4's field is double that of segment 3. Segments 5 and 6's contributions are clarified, with segment 5 matching segment 3's contribution and segment 6 contributing nothing. The overall analysis emphasizes the importance of understanding the contributions of each wire segment to the total magnetic field.
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Homework Statement



magneticfield.jpg


Homework Equations



B =( \mu * i * \phi ) / (2 * \pi * R)



The Attempt at a Solution



i wanted to add one more equation, but I am having difficulty in writing them. whatever!

As you can see from the question there are 6 segments of current carrying wires.

For segment 1 which is labeled in the picture above, B = 0, because the wire goes directly towards the point.

For segment 2 (the semi-circular arc), the magnetic field is calculated using the equation above. where \phi = \pi.

For segment 3, i calculated the B-field and i think its correct...it is 0.0000035969 Tesla.

For segment 4, the B-field is twice as much of segment 3.

the problem now is that i don't know how to calculate the field due to segments 5 and 6. I am not sure if they produce any magnetic field that act on point A.

so please if anyone could help as soon as possible.

thanks in advance
 
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I think it is safe to assume here that segments 1 and 6 are insulated and touching each other in which case you have current running in a closed loop consisting of a semicircle and a rectangular piece. The contribution from 5 is tha same as the contribution from 3 and the contribution frm 6 is zero.
 
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