Magnetic field of square circut

AI Thread Summary
To calculate the magnetic field at point P in a square circuit, the Biot-Savart law is recommended for integration. The method involves finding the magnetic field contribution from each straight segment of the circuit and then using superposition to sum these contributions. The discussion also highlights the need for clarity in notation, specifically regarding the integral notation. Participants are encouraged to focus on the magnetic field strength at point P compared to the center of the square. Overall, the integration approach is emphasized as the key method for solving the problem.
Liquidxlax
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Homework Statement



Calculate the B-field at point P in the figure. Is the field strength at P greater or less then at the centre of the square?

0D7pF.jpg


don't laugh at my bad drawing :(

The Attempt at a Solution



my problem is I'm not sure what method I'm supposed to use. I think its a method that involves integration...

Biot and Savart

d\vec{B}=k_{m}I\frac{d\vec{s}x\hat{R}}{R^{2}}Ampere's Law

\Gamma_{B}=\int\vec{B}\cdotd\vec{s}

edit* it should be dot ds and closed integral

and just a general idea would be appreciated. thanks.

ps i hope the text works
 
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anyone?
 
Liquidxlax said:
anyone?

You should be able to integrate using Biot Savart. Concentrate on finding the field for a straight line, and then use superposition to add up the field from all linear pieces of the circuit.
 
thanks. i will try that
 
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