A square loop of wire lies in the x, y plane with opposite corners at (0, 0) and (a, a). The loop carries a current I directed t

Question

3 years ago

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A square loop of wire lies in the x, y plane with opposite corners at (0, 0) and (a, a). The loop carries a current I directed t

owards the origin along the y-axis and away from the origin along the x-axis. Calculate the cartesian components of the magnetic field B generated by the loop at the point (x, y, z) = (0, 0, a), in terms of a, I, and fundamental constants.

Physics

1 answer:

Ket [755] · Answer 1 · 2022-07-12T14:47:15+03:00

Answer:

Please refer to the figure.

Explanation:

The magnitude of the magnetic field can be found by Biot-Savart Law. We should divide the loop into four components. Each component has a similar solution but their directions are quite different.

The directions can be found by right-hand rule. Point your index finger into the direction of current, point your middle finger towards the target point (0,0,a). Your thumb will show you the direction of magnetic field.