Magnetic field due to an uneven current loop

AI Thread Summary
The discussion focuses on calculating the magnetic field at point P due to a closed circuit made of two semicircles with different radii and a current flowing through them. The user initially attempts to adapt the formula for the magnetic field of an infinitely long straight wire, which is inappropriate for this scenario involving finite semicircular loops. They express confusion over their calculations, particularly regarding the application of the equation and the differences in radii. The key takeaway is the need to use the correct magnetic field equations for semicircular loops rather than those for straight wires. Understanding the geometry of the circuit is crucial for accurately determining the magnetic field at the specified point.
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Homework Statement


"A closed circuit consists of two semicircles of radii 40cm and 20cm that are connected by straight segments. A current of 3.0 A exists in this circuit and has a clockwise direction. Find the magnetic field at point P (center of the figures).

Homework Equations


B = (mu * I)/(2piR)

The Attempt at a Solution



I had thought adapting the above equation would be the way to go, just using two different radii. I ended up with:

\frac{1}{2}\mu\frac{I}{2\pi} * \left(\frac{1}{20} - \frac{1}{40}\right)

LaTeX didn't like the above, so in plaintext:

(1/2)(mu0 * I)/(2pi) * (1/20-1/40)

This didn't work, though, and I'm not entirely sure why.
 
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That's the equation for an infinitely long, straight wire. You have two small loops, not two infinitely long wires.
 
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