A segment of a closed current loop is shown in the following figure. Compute the magnetic field at the center of the semi-circle due to the straight and curved segments shown.

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3 Biot-Savart for Curved Wire
A segment of a closed current loop is shown in the following figure.
Compute the magnetic field at the center of the semi-circle due to the
straight and curved segments shown.
b
(Technically, to use the Biot-Savart law for currents in a wire, the current
must be constant, and the wire must form a closed loop. As a result, there
will be a contribution to the magnetic field at the origin due to the parts of
the closed loop that are not shown. However, here we assume that the not-
shown part of the loop is far enough away that they can be neglected.)
Transcribed Image Text:3 Biot-Savart for Curved Wire A segment of a closed current loop is shown in the following figure. Compute the magnetic field at the center of the semi-circle due to the straight and curved segments shown. b (Technically, to use the Biot-Savart law for currents in a wire, the current must be constant, and the wire must form a closed loop. As a result, there will be a contribution to the magnetic field at the origin due to the parts of the closed loop that are not shown. However, here we assume that the not- shown part of the loop is far enough away that they can be neglected.)
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