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SQUIDDO
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Problem Description:
A hiker is reading a compass under an overhead transmission line that is 5.1m above the ground and carries a current of 807A in a horizontal direction from North to South. Assume the Earth's field is of the order 0.5*10^-4T.
A) Determine the magnitude of the field produced by the transmission line at a point directly underneath
B) Due to the transmission line, the compass will be deflected by a certain angle instead of pointing north. Find this angle in degreesRelevant equations:
1. Magnetic field of a straight conductor at distance 'd' = (μ/4π)*(2I/d)
Attempt at Solution:
Using the equation above and a given value for mu, I was able to find the strength of the magnetic field directly underneath the wire as being 3.164*10^-5
As for the next step, I'm totally lost. I was thinking of finding the forces on the compass due to the transmission line compared to Earth's field, and using vector lines to find the deflection, but I have no idea of the charge on the compass or anything.
I also thought I could just take the relative directions and sizes of the Earth's field and then draw vectors from there, but I don't know if that's allowed.
What can I do? Thanks for your time!
A hiker is reading a compass under an overhead transmission line that is 5.1m above the ground and carries a current of 807A in a horizontal direction from North to South. Assume the Earth's field is of the order 0.5*10^-4T.
A) Determine the magnitude of the field produced by the transmission line at a point directly underneath
B) Due to the transmission line, the compass will be deflected by a certain angle instead of pointing north. Find this angle in degreesRelevant equations:
1. Magnetic field of a straight conductor at distance 'd' = (μ/4π)*(2I/d)
Attempt at Solution:
Using the equation above and a given value for mu, I was able to find the strength of the magnetic field directly underneath the wire as being 3.164*10^-5
As for the next step, I'm totally lost. I was thinking of finding the forces on the compass due to the transmission line compared to Earth's field, and using vector lines to find the deflection, but I have no idea of the charge on the compass or anything.
I also thought I could just take the relative directions and sizes of the Earth's field and then draw vectors from there, but I don't know if that's allowed.
What can I do? Thanks for your time!
. What do you get? (You don't need the "charge" of the compass. Just figure out the direction of the net magnetic field.)